Nonsmooth Contact Dynamics

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Report on intermediate workshop of the project.

Task 5.1: To organize the intermediate workshop of the project. Tentative location: GXUN-PRC.

Report on final conference of the project.

Task 5.2: To organize the final workshop of the project. Tentative location: JU-PL.

Publications

Existence of Solutions for Implicit Obstacle Problems of Fractional Laplacian Type Involving Set-Valued Operators

Author(s): Dumitru Motreanu, Van Thien Nguyen, Shengda Zeng
Published in: Journal of Optimization Theory and Applications, Issue 187/2, 2020, Page(s) 391-407, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-020-01752-4

Auxiliary functions in the study of Stefan-like problems with variable thermal properties

Author(s): Andrea N. Ceretani, Natalia N. Salva, Domingo A. Tarzia
Published in: Applied Mathematics Letters, Issue 104, 2020, Page(s) 106204, ISSN 0893-9659
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2019.106204

High-order compact scheme finite difference discretization for Signorini's problem

Author(s): S. Abide, W. Mansouri, S. Cherkaoui, X. Cheng
Published in: International Journal of Computer Mathematics, 2020, Page(s) 1-12, ISSN 0020-7160
Publisher: Taylor & Francis
DOI: 10.1080/00207160.2020.1762869

Existence for a quasistatic variational-hemivariational inequality

Author(s): Zijia Peng, Cuiming Ma, Zhonghui Liu
Published in: Evolution Equations & Control Theory, Issue 9/4, 2020, Page(s) 1153-1165, ISSN 2163-2480
Publisher: AIMS
DOI: 10.3934/eect.2020058

Nonlocal elliptic variational-hemivariational inequalities

Author(s): Stanisław Migórski, Van Thien Nguyen, Shengda Zeng
Published in: Journal of Integral Equations and Applications, Issue 32/1, 2020, Page(s) 51-58, ISSN 0897-3962
Publisher: Rocky Mountain Mathematics Consortium
DOI: 10.1216/jie.2020.32.51

Topological properties of the solution sets for parametric nonlinear Dirichlet problems

Author(s): Shengda Zeng, Leszek Gasiński, Van Thien Nguyen, Yunru Bai
Published in: Complex Variables and Elliptic Equations, Issue 66/1, 2021, Page(s) 144-153, ISSN 1747-6933
Publisher: Taylor & Francis
DOI: 10.1080/17476933.2020.1730826

Dual sufficient characterizations of transversality properties

Author(s): Nguyen Duy Cuong, Alexander Y. Kruger
Published in: Positivity, Issue 24/5, 2020, Page(s) 1313-1359, ISSN 1385-1292
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11117-019-00734-9

A heat conduction problem with sources depending on the average of the heat flux on the boundary

Author(s): Mahdi Boukrouche, Domingo A. Tarzia
Published in: Revista de la Unión Matemática Argentina, 2020, Page(s) 87-101, ISSN 0041-6932
Publisher: Union Matematica Argentina
DOI: 10.33044/revuma.v61n1a05

Generalized penalty method for semilinear differential variational inequalities

Author(s): Lijie Li, Liang Lu, Mircea Sofonea
Published in: Applicable Analysis, 2020, Page(s) 1-17, ISSN 0003-6811
Publisher: Taylor & Francis
DOI: 10.1080/00036811.2020.1745780

On the Weak Solvability Via Lagrange Multipliers for a Bingham Model

Author(s): Mariana Chivu Cojocaru, Andaluzia Matei
Published in: Mediterranean Journal of Mathematics, Issue 17/5, 2020, ISSN 1660-5446
Publisher: Birkhauser Verlag
DOI: 10.1007/s00009-020-01596-2

Existence of solutions for non-coercive variational-hemivariational inequalities involving the nonlocal fractional p-Laplacian

Author(s): Yongjian Liu, Zhenhai Liu, Ching-Feng Wen, Jen-Chih Yao
Published in: Optimization, 2020, Page(s) 1-19, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2020.1808643

Differential inclusion problems with convolution and discontinuous nonlinearities

Author(s): Yongjian Liu, Zhenhai Liu, Dumitru Motreanu
Published in: Evolution Equations & Control Theory, Issue 9/4, 2020, Page(s) 1057-1071, ISSN 2163-2480
Publisher: AIMS
DOI: 10.3934/eect.2020056

Unique solvability and exponential stability of differential hemivariational inequalities

Author(s): Xiuwen Li, Zhenhai Liu, Mircea Sofonea
Published in: Applicable Analysis, Issue 99/14, 2020, Page(s) 2489-2506, ISSN 0003-6811
Publisher: Taylor & Francis
DOI: 10.1080/00036811.2019.1569226

Convergence analysis for double phase obstacle problems with multivalued convection term

Author(s): Shengda Zeng, Yunru Bai, Leszek Gasiński, Patrick Winkert
Published in: Advances in Nonlinear Analysis, Issue 10/1, 2020, Page(s) 659-672, ISSN 2191-950X
Publisher: de Gruyter
DOI: 10.1515/anona-2020-0155

Variational inequality with almost history-dependent operator for frictionless contact problems

Author(s): Stanisław Migórski, Dariusz Pączka
Published in: Journal of Mathematical Analysis and Applications, Issue 485/2, 2020, Page(s) 123803, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2019.123803

Tykhonov well-posedness of a mixed variational problem

Author(s): Dong-ling Cai, Mircea Sofonea, Yi-bin Xiao
Published in: Optimization, 2020, Page(s) 1-21, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2020.1808646

Quasilinearization technique for solving nonlinear Riemann-Liouville fractional-order problems

Author(s): Guangwang Su, Liang Lu, Bo Tang, Zhenhai Liu
Published in: Applied Mathematics and Computation, Issue 378, 2020, Page(s) 125199, ISSN 0096-3003
Publisher: Elsevier BV
DOI: 10.1016/j.amc.2020.125199

Prox-regular sets and Legendre-Fenchel transform related to separation properties

Author(s): Samir Adly, Florent Nacry, Lionel Thibault
Published in: Optimization, 2020, Page(s) 1-33, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2020.1852404

A class of generalized mixed variational–hemivariational inequalities I: Existence and uniqueness results

Author(s): Yunru Bai, Stanisław Migórski, Shengda Zeng
Published in: Computers & Mathematics with Applications, Issue 79/10, 2020, Page(s) 2897-2911, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2019.12.025

Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems

Author(s): Stanisław Migórski, Akhtar A Khan, Shengda Zeng
Published in: Inverse Problems, Issue 36/2, 2020, Page(s) 024006, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ab44d7

Evolutionary variational–hemivariational inequalities with applications to dynamic viscoelastic contact mechanics

Author(s): Jiangfeng Han, Liang Lu, Shengda Zeng
Published in: Zeitschrift für angewandte Mathematik und Physik, Issue 71/1, 2020, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-020-1260-6

Gap Functions and Error Bounds for Variational–Hemivariational Inequalities

Author(s): Nguyen Van Hung, Stanislaw Migórski, Vo Minh Tam, Shengda Zeng
Published in: Acta Applicandae Mathematicae, Issue 169/1, 2020, Page(s) 691-709, ISSN 0167-8019
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10440-020-00319-9

Numerical analysis of a contact problem with wear

Author(s): Danfu Han, Weimin Han, Michal Jureczka, Anna Ochal
Published in: Computers & Mathematics with Applications, Issue 79/10, 2020, Page(s) 2942-2951, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2019.12.027

Strong convergent iterative techniques for 2-generalized hybrid mappings and split equilibrium problems

Author(s): Jing Zhao, Yunshui Liang, Zhenhai Liu
Published in: Filomat, Issue 33/18, 2019, Page(s) 5851-5862, ISSN 0354-5180
Publisher: Universitet of Nis
DOI: 10.2298/fil1918851z

A New Class of History–Dependent Evolutionary Variational–Hemivariational Inequalities with Unilateral Constraints

Author(s): Stanisław Migórski, Biao Zeng
Published in: Applied Mathematics & Optimization, 2020, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-020-09723-x

New metric properties for prox-regular sets

Author(s): S. Adly, F. Nacry, L. Thibault
Published in: Mathematical Programming, 2020, ISSN 0025-5610
Publisher: Springer Verlag
DOI: 10.1007/s10107-020-01525-x

On a two‐phase Stefan problem with convective boundary condition including a density jump at the free boundary

Author(s): Adriana C. Briozzo, María F. Natale
Published in: Mathematical Methods in the Applied Sciences, Issue 43/6, 2020, Page(s) 3744-3753, ISSN 0170-4214
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/mma.6152

Integral balance methods applied to non-classical Stefan problems

Author(s): Julieta Bollati, María Natale, José Semitiel, Domingo Tarzia
Published in: Thermal Science, Issue 24/2 Part B, 2020, Page(s) 1229-1241, ISSN 0354-9836
Publisher: VINCA Institute of Nuclear Sciences
DOI: 10.2298/tsci180901310b

On the Tykhonov Well-Posedness of an Antiplane Shear Problem

Author(s): Mircea Sofonea, Domingo A. Tarzia
Published in: Mediterranean Journal of Mathematics, Issue 17/5, 2020, ISSN 1660-5446
Publisher: Birkhauser Verlag
DOI: 10.1007/s00009-020-01577-5

On dynamic contact problem with generalized Coulomb friction, normal compliance and damage

Author(s): Leszek Gasiński, Piotr Kalita
Published in: Evolution Equations & Control Theory, Issue 9/4, 2020, Page(s) 1009-1026, ISSN 2163-2480
Publisher: AIMS
DOI: 10.3934/eect.2020049

Variational differential inclusions without ellipticity condition

Author(s): Zhenhai Liu, Roberto Livrea, Dumitru Motreanu, Shengda Zeng
Published in: Electronic Journal of Qualitative Theory of Differential Equations, Issue 43, 2020, Page(s) 1-17, ISSN 1417-3875
Publisher: Szegedi Tudomanyegyetern/University of Szeged
DOI: 10.14232/ejqtde.2020.1.43

Fully history-dependent evolution hemivariational inequalities with constraints

Author(s): Stanisław Migórski, Yi-bin Xiao, Jing Zhao
Published in: Evolution Equations & Control Theory, Issue 9/4, 2020, Page(s) 1089-1114, ISSN 2163-2480
Publisher: AIMS
DOI: 10.3934/eect.2020047

Tykhonov well-posedness of a viscoplastic contact problem<sup>†</sup>

Author(s): Mircea Sofonea, Yi-bin Xiao
Published in: Evolution Equations & Control Theory, Issue 9/4, 2020, Page(s) 1167-1185, ISSN 2163-2480
Publisher: AIMS
DOI: 10.3934/eect.2020048

Inexact primal–dual active set method for solving elastodynamic frictional contact problems

Author(s): Stéphane Abide, Mikaël Barboteu, Soufiane Cherkaoui, David Danan, Serge Dumont
Published in: Computers & Mathematics with Applications, Issue 82, 2021, Page(s) 36-59, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2020.11.017

Convergence analysis of numerical solutions for optimal control of variational–hemivariational inequalities

Author(s): Danfu Han, Weimin Han, Stanisław Migórski, Junfeng Zhao
Published in: Applied Mathematics Letters, Issue 105, 2020, Page(s) 106327, ISSN 0893-9659
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2020.106327

History-dependent differential variational-hemivariational inequalities with applications to contact mechanics

Author(s): Zhenhai Liu, Van Thien Nguyen, Jen-Chih Yao, Shengda Zeng
Published in: Evolution Equations & Control Theory, Issue 9/4, 2020, Page(s) 1073-1087, ISSN 2163-2480
Publisher: AIMS
DOI: 10.3934/eect.2020044

A Tykhonov-type well-posedness concept for elliptic hemivariational inequalities

Author(s): Rong Hu, Mircea Sofonea, Yi-bin Xiao
Published in: Zeitschrift für angewandte Mathematik und Physik, Issue 71/4, 2020, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-020-01337-1

Finite Difference preconditioning for compact scheme discretizations of the Poisson equation with variable coefficients

Author(s): Stéphane Abide
Published in: Journal of Computational and Applied Mathematics, Issue 379, 2020, Page(s) 112872, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2020.112872

Tykhonov well-posedness of a rate-type viscoplastic constitutive law

Author(s): Mircea Sofonea
Published in: Mechanics Research Communications, Issue 108, 2020, Page(s) 103566, ISSN 0093-6413
Publisher: Pergamon Press
DOI: 10.1016/j.mechrescom.2020.103566

Optimal control of differential quasivariational inequalities with applications in contact mechanics

Author(s): Mircea Sofonea, Julieta Bollati, Domingo A. Tarzia
Published in: Journal of Mathematical Analysis and Applications, Issue 493/2, 2021, Page(s) 124567, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2020.124567

Maximum principles for a class of generalized time-fractional diffusion equations

Author(s): Shengda Zeng, Stanisław Migórski, Van Thien Nguyen, Yunru Bai
Published in: Fractional Calculus and Applied Analysis, Issue 23/3, 2020, Page(s) 822-836, ISSN 1311-0454
Publisher: Springer Science + Business Media
DOI: 10.1515/fca-2020-0041

Convergence of a generalized penalty method for variational–hemivariational inequalities

Author(s): Shengda Zeng, Stanisław Migórski, Zhenhai Liu, Jen-Chih Yao
Published in: Communications in Nonlinear Science and Numerical Simulation, Issue 92, 2021, Page(s) 105476, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2020.105476

W1,p versus C1: The nonsmooth case involving critical growth

Author(s): Yunru Bai, Leszek Gasiński, Patrick Winkert, Shengda Zeng
Published in: Bulletin of Mathematical Sciences, Issue 10/03, 2020, Page(s) 2050009, ISSN 1664-3607
Publisher: World Scientic
DOI: 10.1142/s1664360720500095

Steady flow with unilateral and leak/slip boundary conditions by the Stokes variational–hemivariational inequality

Author(s): Stanisław Migórski, Sylwia Dudek
Published in: Applicable Analysis, 2020, Page(s) 1-17, ISSN 0003-6811
Publisher: Taylor & Francis
DOI: 10.1080/00036811.2020.1834084

Almost History-Dependent Variational-Hemivariational Inequality for Frictional Contact Problems

Author(s): Stanisław Migórski, Dariusz Paͅczka
Published in: SIAM Journal on Mathematical Analysis, Issue 52/5, 2020, Page(s) 4362-4390, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1295180

Numerical Analysis of an Adhesive Contact Problem with Long Memory

Author(s): Xiaoliang Cheng, Qichang Xiao
Published in: East Asian Journal on Applied Mathematics, Issue 10/1, 2020, ISSN 2079-7362
Publisher: Global Science Press
DOI: 10.4208/eajam.181018.020419

A free boundary problem for a diffusion–convection equation

Author(s): Adriana C. Briozzo, Domingo A. Tarzia
Published in: International Journal of Non-Linear Mechanics, Issue 120, 2020, Page(s) 103394, ISSN 0020-7462
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.ijnonlinmec.2019.103394

Convergence Results for Elliptic Variational-Hemivariational Inequalities

Author(s): Dong-ling Cai, Mircea Sofonea, Yi-bin Xiao
Published in: Advances in Nonlinear Analysis, Issue 10/1, 2020, Page(s) 2-23, ISSN 2191-950X
Publisher: de Gruyter
DOI: 10.1515/anona-2020-0107

Numerical Analysis of a Dynamic Contact Problem with History-Dependent Operators

Author(s): global sci
Published in: Numerical Mathematics: Theory, Methods and Applications, Issue 13/3, 2020, Page(s) 569-594, ISSN 1004-8979
Publisher: Global Science Press
DOI: 10.4208/nmtma.oa-2019-0130

Convergence Results for Optimal Control Problems Governed by Elliptic Quasivariational Inequalities

Author(s): Mircea Sofonea, Domingo A. Tarzia
Published in: Numerical Functional Analysis and Optimization, Issue 41/11, 2020, Page(s) 1326-1351, ISSN 0163-0563
Publisher: Marcel Dekker Inc.
DOI: 10.1080/01630563.2020.1772288

Numerical analysis of a nonmonotone dynamic contact problem of a non-clamped piezoelectric viscoelastic body

Author(s): Krzysztof Bartosz
Published in: Evolution Equations & Control Theory, Issue 9/4, 2020, Page(s) 961-980, ISSN 2163-2480
Publisher: AIMS
DOI: 10.3934/eect.2020059

Well-Posedness of Minimization Problems in Contact Mechanics

Author(s): Mircea Sofonea, Yi-bin Xiao
Published in: Journal of Optimization Theory and Applications, 2021, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-020-01801-y

Explicit solutions for distributed, boundary and distributed-boundary elliptic optimal control problems

Author(s): Julieta Bollati, Claudia M. Gariboldi, Domingo A. Tarzia
Published in: Journal of Applied Mathematics and Computing, Issue 64/1-2, 2020, Page(s) 283-311, ISSN 1598-5865
Publisher: Korean Society for Computational and Applied Mathematics
DOI: 10.1007/s12190-020-01355-2

Two-phase Stefan problem with nonlinear thermal coefficients and a convective boundary condition

Author(s): Adriana C. Briozzo, María Fernanda Natale
Published in: Nonlinear Analysis: Real World Applications, Issue 58, 2021, Page(s) 103204, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2020.103204

NumericAnalysis and Simulation of a Frictional Contact Problem with Wear, Damage and Long Memory

Author(s): Hailing Xuan & Xiaoliang Cheng
Published in: East Asian Journal on Applied Mathematics, Issue 10/4, 2020, Page(s) 659-678, ISSN 2079-7362
Publisher: Global Science Press
DOI: 10.4208/eajam.130320.260520

Stability analysis of partial differential variational inequalities in Banach spaces

Author(s): Faming Guo, Wei Li, Yi-bin Xiao, Stanisław Migórski
Published in: Nonlinear Analysis: Modelling and Control, Issue 25/1, 2020, ISSN 1392-5113
Publisher: Institute of Mathematics and Informatics
DOI: 10.15388/namc.2020.25.15730

Convergence of simultaneous distributed-boundary parabolic optimal control problems

Author(s): Domingo Tarzia, Carolina Bollo, Claudia Gariboldi
Published in: Evolution Equations & Control Theory, Issue 9/4, 2020, Page(s) 1187-1201, ISSN 2163-2480
Publisher: AIMS
DOI: 10.3934/eect.2020045

Nonmonotone slip problem for miscible liquids

Author(s): Stanislaw Migórski, Pawel Szafraniec
Published in: Journal of Mathematical Analysis and Applications, Issue 471/1-2, 2019, Page(s) 342-357, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2018.10.078

Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics

Author(s): Stanisław Migórski, Shengda Zeng
Published in: Numerical Algorithms, 2019, ISSN 1017-1398
Publisher: Baltzer Science Publishers B.V.
DOI: 10.1007/s11075-019-00667-0

A Nonsmooth Optimization Approach for Hemivariational Inequalities with Applications to Contact Mechanics

Author(s): Michal Jureczka, Anna Ochal
Published in: Applied Mathematics & Optimization, 2019, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-019-09593-y

A class of generalized mixed variational–hemivariational inequalities II: Applications

Author(s): Stanisław Migórski, Yunru Bai, Shengda Zeng
Published in: Nonlinear Analysis: Real World Applications, Issue 50, 2019, Page(s) 633-650, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2019.06.006

Existence and uniqueness of solution for two one-phase Stefan problems with variable thermal coefficients

Author(s): Julieta Bollati, María F. Natale, José A. Semitiel, Domingo A. Tarzia
Published in: Nonlinear Analysis: Real World Applications, Issue 51, 2020, Page(s) 103001, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2019.103001

Numerical analysis and simulations of contact problem with wear

Author(s): Michal Jureczka, Anna Ochal
Published in: Computers & Mathematics with Applications, Issue 77/11, 2019, Page(s) 2980-2988, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2018.08.044

Time-dependent inclusions and sweeping processes in contact mechanics

Author(s): Samir Adly, Mircea Sofonea
Published in: Zeitschrift für angewandte Mathematik und Physik, Issue 70/2, 2019, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-019-1084-4

Well-posedness of a class of generalized mixed hemivariational–variational inequalities

Author(s): Yunru Bai, Stanisław Migórski, Shengda Zeng
Published in: Nonlinear Analysis: Real World Applications, Issue 48, 2019, Page(s) 424-444, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2019.02.001

Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions

Author(s): Xiuwen Li, Yunxiang Li, Zhenhai Liu, Jing Li
Published in: Fractional Calculus and Applied Analysis, Issue 21/6, 2018, Page(s) 1439-1470, ISSN 1311-0454
Publisher: Springer Science + Business Media
DOI: 10.1515/fca-2018-0076

On numerical approximation of a variational–hemivariational inequality modeling contact problems for locking materials

Author(s): Mikaël Barboteu, Weimin Han, Stanisław Migórski
Published in: Computers & Mathematics with Applications, Issue 77/11, 2019, Page(s) 2894-2905, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2018.08.004

Approximate controllability for fractional semilinear parabolic equations

Author(s): Yong Huang, Zhenhai Liu, Ching-Feng Wen
Published in: Computers & Mathematics with Applications, Issue 77/11, 2019, Page(s) 2971-2979, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2018.08.003

Relaxation in nonconvex optimal control for nonlinear evolution hemivariational inequalities

Author(s): Maojun Bin, Zhenhai Liu
Published in: Nonlinear Analysis: Real World Applications, Issue 50, 2019, Page(s) 613-632, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2019.05.013

Convergence analysis of penalty based numerical methods for constrained inequality problems

Author(s): Weimin Han, Mircea Sofonea
Published in: Numerische Mathematik, Issue 142/4, 2019, Page(s) 917-940, ISSN 0029-599X
Publisher: Springer Verlag
DOI: 10.1007/s00211-019-01036-8

On the “bang-bang” principle for nonlinear evolution hemivariational inequalities control systems

Author(s): Maojun Bin, Zhenhai Liu
Published in: Journal of Mathematical Analysis and Applications, Issue 480/1, 2019, Page(s) 123364, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2019.07.054

On penalty method for unilateral contact problem with non-monotone contact condition

Author(s): Weimin Han, Stanisław Migórski, Mircea Sofonea
Published in: Journal of Computational and Applied Mathematics, Issue 356, 2019, Page(s) 293-301, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2019.02.003

Controllability of nonlinear impulsive integro-differential fractional time-invariant systems

Author(s): Yong Huang, Zhenhai Liu
Published in: Journal of Integral Equations and Applications, Issue 31/3, 2019, Page(s) 329-341, ISSN 0897-3962
Publisher: Rocky Mountain Mathematics Consortium
DOI: 10.1216/jie-2019-31-3-329

Error estimate for quasistatic history-dependent contact model

Author(s): Xiaoliang Cheng, Qichang Xiao, Stanisław Migórski, Anna Ochal
Published in: Computers & Mathematics with Applications, Issue 77/11, 2019, Page(s) 2943-2952, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2018.08.058

A frictional contact problem with wear diffusion

Author(s): Piotr Kalita, Pawel Szafraniec, Meir Shillor
Published in: Zeitschrift für angewandte Mathematik und Physik, Issue 70/4, 2019, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-019-1141-z

Numerical analysis of hemivariational inequalities in contact mechanics

Author(s): Weimin Han, Mircea Sofonea
Published in: Acta Numerica, Issue 28, 2019, Page(s) 175-286, ISSN 0962-4929
Publisher: Cambridge University Press
DOI: 10.1017/s0962492919000023

On convergence of numerical methods for variational–hemivariational inequalities under minimal solution regularity

Author(s): Weimin Han, Shengda Zeng
Published in: Applied Mathematics Letters, Issue 93, 2019, Page(s) 105-110, ISSN 0893-9659
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2019.02.007

Penalty method for a class of differential variational inequalities

Author(s): Zhenhai Liu, Shengda Zeng
Published in: Applicable Analysis, 2019, Page(s) 1-16, ISSN 0003-6811
Publisher: Taylor & Francis
DOI: 10.1080/00036811.2019.1652736

Positive solutions for nonlinear singular elliptic equations of p-Laplacian type with dependence on the gradient

Author(s): Zhenhai Liu, Dumitru Motreanu, Shengda Zeng
Published in: Calculus of Variations and Partial Differential Equations, Issue 58/1, 2019, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-018-1472-1

Existence results of semilinear differential variational inequalities without compactness

Author(s): Liang Lu, Zhenhai Liu, Dumitru Motreanu
Published in: Optimization, Issue 68/5, 2019, Page(s) 1017-1035, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2019.1571057

A new class of quasistatic frictional contact problems governed by a variational–hemivariational inequality

Author(s): Stanisław Migórski, Piotr Gamorski
Published in: Nonlinear Analysis: Real World Applications, Issue 50, 2019, Page(s) 583-602, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2019.05.014

On the relationship between alternative variational formulations of a frictional contact model

Author(s): Andaluzia Matei
Published in: Journal of Mathematical Analysis and Applications, Issue 480/1, 2019, Page(s) 123391, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2019.123391

A Class of Generalized Evolutionary Problems Driven by Variational Inequalities and Fractional Operators

Author(s): Stanisław Migórski, Shengda Zeng
Published in: Set-Valued and Variational Analysis, Issue 27/4, 2019, Page(s) 949-970, ISSN 1877-0533
Publisher: Springer Verlag
DOI: 10.1007/s11228-018-0502-7

Solvability and optimization for a class of mixed variational problems

Author(s): Andaluzia Matei, Mircea Sofonea
Published in: Optimization, 2019, Page(s) 1-20, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2019.1676242

Second order differential variational inequalities involving anti-periodic boundary value conditions

Author(s): Liang Lu, Zhenhai Liu, Valeri Obukhovskii
Published in: Journal of Mathematical Analysis and Applications, Issue 473/2, 2019, Page(s) 846-865, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2018.12.072

A new modified subgradient extragradient method for solving variational inequalities

Author(s): Stanisław Migórski, Changjie Fang, Shengda Zeng
Published in: Applicable Analysis, 2019, Page(s) 1-10, ISSN 0003-6811
Publisher: Taylor & Francis
DOI: 10.1080/00036811.2019.1594202

Variational–hemivariational inequality for a class of dynamic nonsmooth frictional contact problems

Author(s): Stanisław Migórski, Piotr Gamorski
Published in: Applied Mathematics and Computation, Issue 346, 2019, Page(s) 465-479, ISSN 0096-3003
Publisher: Elsevier BV
DOI: 10.1016/j.amc.2018.10.011

Boundary optimal control of a nonsmooth frictionless contact problem

Author(s): Mircea Sofonea, Yi-bin Xiao
Published in: Computers & Mathematics with Applications, Issue 78/1, 2019, Page(s) 152-165, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2019.02.027

Existence of solutions to discrete and continuous second-order boundary value problems via Lyapunov functions and a priori bounds

Author(s): Christopher Tisdell, Yongjian Liu, Zhenhai Liu
Published in: Electronic Journal of Qualitative Theory of Differential Equations, Issue 42, 2019, Page(s) 1-11, ISSN 1417-3875
Publisher: Szegedi Tudomanyegyetern/University of Szeged
DOI: 10.14232/ejqtde.2019.1.42

Optimization problems for a viscoelastic frictional contact problem with unilateral constraints

Author(s): Mircea Sofonea, Yi-bin Xiao, Maxime Couderc
Published in: Nonlinear Analysis: Real World Applications, Issue 50, 2019, Page(s) 86-103, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2019.04.005

Existence results for impulsive feedback control systems

Author(s): Biao Zeng, Zhenhai Liu
Published in: Nonlinear Analysis: Hybrid Systems, Issue 33, 2019, Page(s) 1-16, ISSN 1751-570X
Publisher: Elsevier BV
DOI: 10.1016/j.nahs.2019.01.008

Optimal control for a class of mixed variational problems

Author(s): Mircea Sofonea, Andaluzia Matei, Yi-bin Xiao
Published in: Zeitschrift für angewandte Mathematik und Physik, Issue 70/4, 2019, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-019-1173-4

A class of history-dependent differential variational inequalities with application to contact problems

Author(s): Stanisław Migórski, Zhenhai Liu, Shengda Zeng
Published in: Optimization, 2019, Page(s) 1-33, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2019.1647539

Convergence and Optimization Results for a History-Dependent Variational Problem

Author(s): Mircea Sofonea, Andaluzia Matei
Published in: Acta Applicandae Mathematicae, 2019, ISSN 0167-8019
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10440-019-00293-x

On the Well-Posedness Concept in the Sense of Tykhonov

Author(s): Mircea Sofonea, Yi-bin Xiao
Published in: Journal of Optimization Theory and Applications, Issue 183/1, 2019, Page(s) 139-157, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-019-01549-0

On the optimal control of variational–hemivariational inequalities

Author(s): Yi-bin Xiao, Mircea Sofonea
Published in: Journal of Mathematical Analysis and Applications, Issue 475/1, 2019, Page(s) 364-384, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2019.02.046

Optimization problems for elastic contact models with unilateral constraints

Author(s): Mircea Sofonea, Yi-bin Xiao, Maxime Couderc
Published in: Zeitschrift für angewandte Mathematik und Physik, Issue 70/1, 2019, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-018-1046-2

Solvability of parabolic variational-hemivariational inequalities involving space-fractional Laplacian

Author(s): Stanisław Migórski, Van Thien Nguyen, Shengda Zeng
Published in: Applied Mathematics and Computation, Issue 364, 2020, Page(s) 124668, ISSN 0096-3003
Publisher: Elsevier BV
DOI: 10.1016/j.amc.2019.124668

Tykhonov well-posedness of split problems

Author(s): Qiao-yuan Shu, Mircea Sofonea, Yi-bin Xiao
Published in: Journal of Inequalities and Applications, Issue 2020/1, 2020, ISSN 1029-242X
Publisher: Springer
DOI: 10.1186/s13660-020-02421-w

Constrained Variational-Hemivariational Inequalities on Nonconvex Star-Shaped Sets

Author(s): Stanisław Migórski, Long Fengzhen
Published in: Mathematics, Issue 8/10, 2020, Page(s) 1824, ISSN 2227-7390
Publisher: MDPI
DOI: 10.3390/math8101824

Well-Posedness of History/State-Dependent Implicit Sweeping Processes

Author(s): Shengda Zeng, Emilio Vilches
Published in: Journal of Optimization Theory and Applications, Issue 186/3, 2020, Page(s) 960-984, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-020-01730-w

Existence of Solutions for a Class of Noncoercive Variational–Hemivariational Inequalities Arising in Contact Problems

Author(s): Yongjian Liu, Zhenhai Liu, Ching-Feng Wen, Jen-Chih Yao, Shengda Zeng
Published in: Applied Mathematics & Optimization, 2020, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-020-09703-1

Existence results for a class of semilinear differential variational inequalities with nonlocal boundary conditions

Author(s): Zhenhai Liu, Liang Lu, Xiufeng Guo
Published in: Topological Methods in Nonlinear Analysis, 2020, Page(s) 1, ISSN 1230-3429
Publisher: Juliusz Schauder Center
DOI: 10.12775/tmna.2019.088

Existence results for double phase implicit obstacle problems involving multivalued operators

Author(s): Shengda Zeng, Yunru Bai, Leszek Gasiński, Patrick Winkert
Published in: Calculus of Variations and Partial Differential Equations, Issue 59/5, 2020, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-020-01841-2

Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives

Author(s): Sabrina D. Roscani, Nahuel D. Caruso, Domingo A. Tarzia
Published in: Communications in Nonlinear Science and Numerical Simulation, Issue 90, 2020, Page(s) 105361, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2020.105361

Optimal Obstacle Control Problems Involving Nonsmooth Cost Functionals and Quasilinear Variational Inequalities

Author(s): Zijia Peng
Published in: SIAM Journal on Control and Optimization, Issue 58/4, 2020, Page(s) 2236-2255, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1249102

A Dynamical Method for Solving the Obstacle Problem

Author(s): global sci
Published in: Numerical Mathematics: Theory, Methods and Applications, Issue 13/2, 2020, Page(s) 353-371, ISSN 1004-8979
Publisher: Global Science Press
DOI: 10.4208/nmtma.oa-2019-0109

A Class of Nonlinear Inclusions and Sweeping Processes in Solid Mechanics

Author(s): Florent Nacry, Mircea Sofonea
Published in: Acta Applicandae Mathematicae, Issue 171/1, 2021, ISSN 0167-8019
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10440-020-00380-4

Optimal Control of History-Dependent Evolution Inclusions with Applications to Frictional Contact

Author(s): Stanisław Migórski
Published in: Journal of Optimization Theory and Applications, Issue 185/2, 2020, Page(s) 574-596, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-020-01659-0

Numerical studies of a hemivariational inequality for a viscoelastic contact problem with damage

Author(s): Weimin Han, Michal Jureczka, Anna Ochal
Published in: Journal of Computational and Applied Mathematics, Issue 377, 2020, Page(s) 112886, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2020.112886

Numerical behaviour of a new LES model with nonlinear viscosity

Author(s): J.M. Rodríguez, R. Taboada-Vázquez
Published in: Journal of Computational and Applied Mathematics, Issue 377, 2020, Page(s) 112868, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2020.112868

ON A CLASS OF SADDLE POINT PROBLEMS AND CONVERGENCE RESULTS

Author(s): Mariana Chivu Cojocaru, Andaluzia Matei
Published in: Mathematical Modelling and Analysis, Issue 25/4, 2020, Page(s) 608-621, ISSN 1392-6292
Publisher: Vilnius Gediminas Technical University
DOI: 10.3846/mma.2020.11140

Boundary optimal control for antiplane contact problems with power-law friction

Author(s): Nicolae Cîndea, Andaluzia Matei, Sorin Micu, Constantin Niţă
Published in: Applied Mathematics and Computation, Issue 386, 2020, Page(s) 125448, ISSN 0096-3003
Publisher: Elsevier BV
DOI: 10.1016/j.amc.2020.125448

On the Justification of Koiter’s Equations for Viscoelastic Shells

Author(s): G. Castiñeira, Á. Rodríguez-Arós
Published in: Applied Mathematics & Optimization, 2020, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-020-09708-w

A new class of hyperbolic variational–hemivariational inequalities driven by non-linear evolution equations

Author(s): STANISŁAW MIGÓRSKI, WEIMIN HAN, SHENGDA ZENG
Published in: European Journal of Applied Mathematics, Issue 32/1, 2021, Page(s) 59-88, ISSN 0956-7925
Publisher: Cambridge University Press
DOI: 10.1017/s0956792520000030

Existence, comparison, and convergence results for a class of elliptic hemivariational inequalities

Author(s): Claudia M. Gariboldi, Stanislaw Migorski, Anna Ochal, and Domingo A. Tarzia
Published in: APPLIED MATHEMATICS AND OPTIMIZATION, 2021, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-021-09800-9

ON THE WELL-POSEDNESS OF VARIATIONAL-HEMIVARIATIONAL INEQUALITIES AND ASSOCIATED FIXED POINT PROBLEMS

Author(s): Hu, Rong and Sofonea, Mircea
Published in: JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, ISSN 2560-6921
Publisher: Publisher
DOI: 10.23952/jnva.6.2022.5.09

Weak solutions to the generalized navier-stokes equations with mixed boundary conditions and implicit obstacle constraints

Author(s): Jinxia Cen, Van Thien Nguyen, Calogero Vetro, and Shengda Zeng
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2023.103904

Numerical analysis of a family of simultaneous distributed-boundary mixed elliptic optimal control problems and their asymptotic behaviour through a commu- tative diagram and error estimates

Author(s): Carolina M. Bollo, Claudia M. Gariboldi, and Domingo A. Tarzia
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2023.103842

Second order evolutionary problems driven by mixed quasi-variational-hemivariational inequalities

Author(s): Jing Zhao, Jun Chen, and Zhen- hai Liu
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107192

A Fixed Point Approach of Variational-Hemivariational Inequalities

Author(s): Hu, Rong and Sofonea, Mircea and Xiao, Yi-Bin
Published in: CARPATHIAN JOURNAL OF MATHEMATICS, 2022, ISSN 1584-2851
Publisher: Editura Universitatii de Nord
DOI: 10.37193/cjm.2022.03.05

A class of variational-hemivariational inequalities for bingham type fluids

Author(s): Stanislaw Migorski and Sylwia Dudek
Published in: APPLIED MATHEMATICS AND OPTIMIZATION, 2022, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-022-09855-2

Unbounded perturbation of an evolution hemivariational inequality

Author(s): Zhenhai Liu Chen Bin, Xiake Liu and Sergey A. Timoshin
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2024.104070

A class of elliptic mixed boundary value problems with (p, q)-Laplacian: existence, comparison and optimal control

Author(s): Zeng, Shengda and Migorski, Stanislaw and Tarzia, Domingo A. and Zou, Lang and Van Thien Nguyen
Published in: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-022-01789-7

Nonlocal Double Phase Complementarity Systems with Convection Term and mixed Boundary Conditions

Author(s): Liu, Zhenhai and Zeng, Shengda and Gasinski, Leszek and Kim, Yun-Ho
Published in: JOURNAL OF GEOMETRIC ANALYSIS, 2022, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-022-00977-1

Optimal control of an evolution hemivariational inequality involving history-dependentoperators

Author(s): Zhao Jing, Zhenhai Liu,Emilio Vilches, Chingfeng Wen, and Jen-Chih Yao
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105992

Approximate controllability of non-autonomous second-order evolution hemivariational inequalities with nonlocal conditions

Author(s): Jing Zhao, Zhenhai Liu, and Yongjian Liu
Published in: APPLICABLE ANALYSIS, 2021, ISSN 0003-6811
Publisher: Taylor & Francis
DOI: 10.1080/00036811.2021.1942857

Existence of solutions for space-fractional parabolic hemi- variational inequalities

Author(s): Yongjian Liu, Zhenhai Liu, and Ching- Feng Wen
Published in: DISCRETE AND CONTINUOUS DYNAMI- CAL SYSTEMS-SERIES B, 2019, ISSN 1531-3492
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/dcdsb.2019017

A class of hyperbolic variational-hemivariational inequalities without damping terms

Author(s): Zeng, Shengda and Migorski, Stanislaw and Van Thien Nguyen
Published in: ADVANCES IN NONLINEAR ANALYSIS, 2022, ISSN 2191-9496
Publisher: Publisher
DOI: 10.1515/anona-2022-0237

Identification of discontinuous parameters in contaminant convection-reaction-diffusion model of recovered frac- turing fluid

Author(s): Jinxia Cen, Xiezhen Huang, Aimin Liu, and Jen-Chih Yao
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107634

Positive solutions for nonlinear sin- gular problems with sign-changing nonlinearities

Author(s): Yunru Bai, Nikolaos S. Pa- pageorgiou, and Shengda Zeng
Published in: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, ISSN 1937-1632
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/dcdss.2023131

A class of moving boundary problems with a source term: application of a reciprocal transformation

Author(s): Adriana C. Briozzo, Colin Rogers, and Domingo A. Tarzia
Published in: ACTA MECHANICA, 2023, ISSN 0001-5970
Publisher: Springer Verlag
DOI: 10.1007/s00707-023-03477-7

Evolutionary Quasi-variational Hemivariational Inequalities: Existence and Parameter Identification

Author(s): Zijia Peng, Guangkun Yang , Zhenhai Liu and Stanislaw Migorski
Published in: APPLIED MATHEMATICS AND OPTIMIZATION, 2024, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-023-10100-7

Hemivariational inequality for contaminant reaction-diffusion model of recovered fracturing fluid in the wellbore of shale gas reservoir

Author(s): Jinxia Cen, Stanislaw Migorski, Chao Min, and Jen-Chih Yao
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2022.107020

A new class of fractional differential hemivariational inequali- ties with application to an incompressible navier-stokes system coupled with a fractional diffusion equation

Author(s): S. D. Zeng, S. Migorski, and W. Han
Published in: IZVESTIYA MATHEMATICS, 2023, ISSN 1064-5632
Publisher: American Mathematical Society
DOI: 10.4213/im9251e

Existence of solutions for implicit obstacle problems involving nonhomogeneous partial differential operators and multivalued terms

Author(s): Shengda Zeng, Yunru Bai, Leszek Gasinski, Ireneusz Krech
Published in: Electronic Journal of Differential Equations, Issue 2021, 2023, Page(s) 37, ISSN 1072-6691
Publisher: Texas State University - San Marcos
DOI: 10.58997/ejde.2021.37

Levitin-Polyak Well-Posedness by Perturbations for the Split Hemivariational Inequality Problem on Hadamard Manifolds

Author(s): Vo Minh Tam and Nguyen Van Hung and Liu, Zhenhai and Yao, Jen Chih
Published in: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2022, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-022-02111-1

Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem

Author(s): Piotr Bartman, Krzysztof Bartosz, Michal Jureczka, and Pawel Szafraniec
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2023.103870

Shape optimization for the Stokes hemivariational inequality with slip boundary condition

Author(s): Changjie Fang, Meifang Yang and Stanislaw Migorski
Published in: COMPUTERS \& MATHEMATICS WITH APPLICATIONS, 2023, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2023.06.039

Positive solutions for singular prob- lems with multivalued convection

Author(s): Yunru Bai, Leszek Gasin- ski, and Nikolaos S. Papageorgiou
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107621

Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities

Author(s): Liu, Yongjian and Liu, Zhenhai and Papageorgiou, Nikolaos S.
Published in: JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2022.10.009

Numerical analysis of a viscoplastic contact problem with normal compliance, unilateral constraint, memory term and friction

Author(s): Xilu Wang and Xiaoliang Cheng
Published in: JOURNAL OF COMPUTA- TIONAL AND APPLIED MATHEMATICS, 2021, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2021.113646

Radius theorems for subregularity in infinite dimensions

Author(s): Gfrerer, Helmut and Kruger, Alexander Y. Y.
Published in: COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2023, ISSN 0926-6003
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10589-022-00431-6

On variational- hemivariational inequalities in banach spaces

Author(s): Weimin Han and M. Z. Nashed
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107309

On well-posedness of Navier-Stokes variational inequalities

Author(s): Weimin Han and Yuan Yao
Published in: APPLIED MATHEMATICS LETTERS, 2024, ISSN 0893-9659
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2024.109121

Tykhonov triples and convergence analysis of an inclusion problem

Author(s): Mircea Sofonea
Published in: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2022, ISSN 1220-3874
Publisher: Societatea de Stiinte Matematice din Romania

Distance function associated to a prox-regular set

Author(s): Florent Nacry and Lionel Thibault
Published in: SET-VALUED AND VARIATIONAL ANALYSIS, 2021, ISSN 1877-0533
Publisher: Springer Verlag
DOI: 10.1007/s11228-021-00616-x

Minimization arguments in analysis of variational-hemivariational inequalities

Author(s): Mircea Sofonea and Weimin Han
Published in: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-021-01638-z

Well- posedness of a mixed hemivariational-variational problem

Author(s): Mircea Sofonea and Andaluzia Matei
Published in: FIXED POINT THEORY, 2023, ISSN 1583-5022
Publisher: Casa Cartii de Stiinta
DOI: 10.24193/fpt-ro.2023.2.17

Parametric Anisotropic (p, q)-Neumann Problems

Author(s): Zhenhai Liu and Nikolaos S. Papageorgiou
Published in: ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2023, ISSN 0168-9673
Publisher: Springer Verlag
DOI: 10.1007/s10255-023-1087-y

Conver- gence and optimization results for a history-dependent variational problem

Author(s): Mircea Sofonea and Andaluzia Matei
Published in: ACTA APPLICANDAE MATHEMATICAE, 2020, ISSN 0167-8019
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10440-019-00293-x

SIMULTANEOUS DISTRIBUTED AND NEUMANN BOUNDARY OPTIMAL CONTROL PROBLEMS FOR ELLIPTIC HEMIVARIATIONAL INEQUALITIES

Author(s): Bollo, Carolina M. and Gariboldi, Claudia M. and Tarzia, Domingo A.
Published in: JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, ISSN 2560-6921
Publisher: Publisher
DOI: 10.23952/jnva.6.2022.5.07

Nonlinear quasi-hemivariational inequalities: Existence and optimal control

Author(s): Shengda Zeng, Stanislaw Migorski, and Akhtar A. Khan
Published in: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1282210

Stability analysis for a recovered frac- turing fluid model in the wellbore of shale gas reservoir

Author(s): Jinxia Cen, Nicusor Costea, Chao Min, and Jen-Chih Yao
Published in: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2023, ISSN 2651-477X
Publisher: Hacettepe University
DOI: 10.15672/hujms.1193699

On normal compliance quasistatic viscoplastic contact problem with friction, damage and foundation memory property

Author(s): Kulig, Anna
Published in: APPLICABLE ANALYSIS, 2022, ISSN 0003-6811
Publisher: Taylor & Francis
DOI: 10.1080/00036811.2022.2103677

NONLOCAL DOUBLE PHASE IMPLICIT OBSTACLE PROBLEMS WITH MULTIVALUED BOUNDARY CONDITIONS

Author(s): Shengda Zeng, Vicentiu D. Radulescu, Patrick Winkert
Published in: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2024, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/22m1501040

Coupled variational inequalities: Exis- tence, stability and optimal control

Author(s): Jinjie Liu, Xinmin Yang, Shengda Zeng, and Yong Zhao
Published in: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2022, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-021-01995-9

Generalized fractional evolution equations driven by fuzzy variational inequalities

Author(s): Shengda Zeng, Jinxia Cen, and Van Thien Nguyen
Published in: FUZZY SETS AND SYSTEMS, 2022, ISSN 0165-0114
Publisher: Elsevier BV
DOI: 10.1016/j.fss.2021.01.005

A new class of elliptic quasi-variational-hemivariational inequalities for fluidflow with mixed boundary conditions

Author(s): Stanislaw Migorski and Sylwia Dudek
Published in: COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2021.08.022

Dynamic history-dependent hemivariational inequalities controlled by evolutionequations with application to contact mechanics

Author(s): Shengda Zeng and Stanislaw Migorski
Published in: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2021, ISSN 1040-7294
Publisher: Plenum Publishers
DOI: 10.1007/s10884-021-10088-0

Convergence analysis for elliptic quasivariational inequalities

Author(s): Mikael Barboteu and Mircea Sofonea
Published in: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-023-02022-9

Generalized penalty method for history-dependent variational-hemivariational inequalities

Author(s): Mircea Sofonea, Yi-bin Xiao, and Sheng-da Zeng
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2021.103329

Inverse problems for doublephase obstacle problems with variable exponents

Author(s): Shengda Zeng, Nikolaos S. Papageorgiou, and Patrick Winkert
Published in: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2023, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-022-02155-3

A class of evolution differential inclusion systems

Author(s): Jing Zhao, Zhenhai Liu and N. S. Papageorgiou
Published in: IZVESTIYA MATHEMATICS, 2024, ISSN 1064-5632
Publisher: American Mathematical Society
DOI: 10.4213/im9450e

Minimization principle in study of a stokes hemivariational inequality

Author(s): Min Ling and Weimin Han
Published in: APPLIED MATHEMATICS LETTERS, 2021, ISSN 0893-9659
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2021.107401

Parametric singular double phase Dirichlet problems

Author(s): Yunru Bai, Nikolaos S. Papageorgiou and Shengda Zeng
Published in: ADVANCES IN NONLINEAR ANALYSIS, 2023, ISSN 2191-9496
Publisher: De Gruyter
DOI: 10.1515/anona-2023-0122

Generalized penalty method for elliptic variational-hemivariational inequalities

Author(s): Yi-bin Xiao and Mircea Sofonea
Published in: APPLIED MATHEMATICS AND OPTIMIZATION, 2021, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-019-09563-4

Differential variational- hemivariational inequalities with application to contact mechanics

Author(s): Stanislaw Migorski, Dong-ling Cai, and Sylwia Dudek
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2022.103816

Variational-hemivariational system for contaminant convection-reaction-diffusion model of recovered fracturing fluid

Author(s): Jinxia Cen, Stanislaw Migorski, Jen-Chih Yao and Shengda Zeng
Published in: ADVANCES IN NONLINEAR ANALYSIS, 2024, ISSN 2191-9496
Publisher: De Gruyter
DOI: 10.1515/anona-2023-0141

Tykhonov triples, well-posedness and convergence results

Author(s): Yi-Bin Xiao and Mircea Sofonea
Published in: CARPATHIAN JOURNAL OF MATHEMATICS, 2021, ISSN 1584-2851
Publisher: Editura Universitatii de Nord

Global energy conservation solution for the N - abc family of Camassa-Holm type equation

Author(s): Zaiyun Zhang, Zhenhai Liu and Youjun Deng
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2024.104093

EXISTENCE OF SOLUTIONS TO A NEW CLASS OF COUPLED VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

Author(s): Bai, YUNRU and Migorski, Stanislaw and Nguyen, Van Thien and Peng, JIANWEN.
Published in: JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, ISSN 2560-6921
Publisher: Publisher
DOI: 10.23952/jnva.6.2022.5.05

Mixed variational inequalities driven by fractional evolutionary equations

Author(s): Stanislaw Migorski and Shengda Zeng
Published in: ACTA MATHEMATICA SCIENTIA, 2019, ISSN 0252-9602
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10473-019-0211-9

An inverse problem for a double phase implicit obstacle problem with multivalued terms

Author(s): Shengda Zeng, Yunru Bai, Vicentiu D. Radulescu, and Patrick Winkert
Published in: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2023, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2023022

Integral formulation for a stefan problem with spherical symmetry

Author(s): Julieta Bollati, Adriana C. Briozzo, and Maria S. Gutierrez
Published in: ZEITSCHRIFT FUR ANGE- WANDTE MATHEMATIK UND PHYSIK, 2021, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-021-01527-5

Nonlinear nonhomogeneous obstacle problems with multivalued convection term

Author(s): Shengda Zeng, Yunru Bai, and Leszek Gasinski
Published in: JOURNAL OF GEOMETRIC ANALYSIS, 2022, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-021-00821-y

Determination of one unknown coefficient in a two-phase free boundary problem in an angular domain with variable thermal conductivity and specific heat

Author(s): Julieta Bollati, Maria F. Natale, Jose A. Semitiel, and Domingo A. Tarzia
Published in: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2023.127775

Existence and convergence for stochastic differential variational inequalities

Author(s): Fei Guan, Van Thien Nguyen and Zijia Peng
Published in: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2023, ISSN 2651-477X
Publisher: Publisher
DOI: 10.15672/hujms.1141495

Positive solutions for a class of nonlinear parametric Robin problems

Author(s): Leszek Gasiński, Nikolaos S. Papageorgiou, Youpei Zhang
Published in: Rendiconti del Circolo Matematico di Palermo Series 2, Issue 73, 2024, Page(s) 429-454, ISSN 0009-725X
Publisher: Circolo Matematico di Palermo
DOI: 10.1007/s12215-023-00918-z

Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: Decoupling approach revisited

Author(s): Marian Fabian, Alexander Y. Kruger and Patrick Mehlitz
Published in: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2023.127985

Tykhonov well-posedness of fixed point problems in contact mechanics

Author(s): Mircea Sofonea
Published in: FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2022, ISSN 2730-5422
Publisher: Publisher
DOI: 10.1186/s13663-022-00722-x

Decay mild solutions of fractional differential hemivaria-tional inequalities

Author(s): Xiuwen Li, Zhenhai Liu, and Ricai Luo
Published in: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2022, ISSN 1230-3429
Publisher: Juliusz Schauder Center
DOI: 10.12775/tmna.2021.032

A singular eigenvalue problem for the dirichlet (p,q)-laplacian

Author(s): Yunru Bai, Nikolaos S. Papageorgiou, and Shengda Zeng
Published in: MATHEMATISCHE ZEITSCHRIFT, 2022, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-021-02803-w

Asymptotic analysis of double phase mixed boundary value problems with multivalued convection term

Author(s): Jinxia Cen, Dariusz Paczka, Jen-Chih Yao, and Shengda Zeng
Published in: JOURNAL OF GEOMETRIC ANALYSIS, 2023, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-023-01349-z

Well- posedness of history-dependent evolution inclusions with applications

Author(s): Stanislaw Migorski and Yunru Bai
Published in: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-019-1158-3

Generalized penalty and regularizationmethod for di_erential variational-hemivariational inequalities

Author(s): Zhenhai Liu, Dumitru Motreanu, and Shengda Zeng
Published in: SIAM JOURNAL ON OPTIMIZATION, 2021, ISSN 1052-6234
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1330221

A class of history-dependent systems of evolution inclusions with applications

Author(s): Stanislaw Migorski
Published in: NONLINEAR ANALYSIS- REAL WORLD APPLICATIONS, 2021, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2020.103246

Numerical estimation of the inverse eigenvalue problem for a weighted helmholtz equation

Author(s): Zhengfang Zhang, Xiangjing Gao, and Xiaoliang Cheng
Published in: JOURNAL OF SCIENTIFIC COMPUTING, 2023, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-023-02242-1

Analysis and control of an electro-elastic contact problem

Author(s): Tao Chen, Rong Hu, and Mircea Sofonea
Published in: MATHEMATICS AND MECHANICS OF SOLIDS, 2022, ISSN 1081-2865
Publisher: SAGE Publications
DOI: 10.1177/10812865211044181

Non-invasive study to determine changes in physical properties of multilayer materials

Author(s): Diana Rubio, Guillermo F. F. Umbricht, Nicolas Saintier, Marcela Morvidone, and Domingo A. A. Tarzia
Published in: MRS ADVANCES, 2022, ISSN 2731-5894
Publisher: Publisher
DOI: 10.1557/s43580-022-00463-4

Constrained evolutionary variational-hemivariational inequalities with application to fluid flow model

Author(s): Stanislaw Migorski and Sylwia Dudek
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107555

Distributed optimal control problems for a class of elliptic hemi-variational inequalities with a parameter and its asymptotic behavior

Author(s): Claudia M. Gariboldi and Domingo A. Tarzia
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NU- MERICAL SIMULATION, 2022, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.106027

A new kind of double phase elliptic inclusions with logarithmic perturbation terms II: Applications

Author(s): Yasi Lu, Yongjian Liu, Xiezhen Huang and Calogero Vetro
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2024.107860

Inverse problems for generalized quasi-variational inequalities with application to ellipticmixed boundary value systems

Author(s): Jinxia Cen, Akhtar A.Khan, Dumitru Motreanu, and Shengda Zeng
Published in: INVERSE PROBLEMS, 2022, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ac61a5

A parametric singular (p,q)-equation with convection

Author(s): Bai, Yunru and Papageorgiou, Nikolaos S. and Zeng, Shengda
Published in: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, ISSN 1747-6933
Publisher: Taylor & Francis
DOI: 10.1080/17476933.2022.2097662

Existence re- sults for dirichlet double phase differential inclusions

Author(s): Nicusor Costea and Shengda Zeng
Published in: STUDIA UNI- VERSITATIS BABES-BOLYAI MATHEMATICA, 2023, ISSN 2065-961x
Publisher: Publisher
DOI: 10.24193/subbmath.2023.1.04

Modelling, analysis, and numerical simulation of a spring-rods system with unilateral constraints

Author(s): Anna Ochal, Wiktor Przadka, Mircea Sofonea, and Domingo A. Tarzia
Published in: MATHEMATICS AND MECHANICS OF SOLIDS, 2023, ISSN 1081-2865
Publisher: SAGE Publications
DOI: 10.1177/10812865231186345

OPTIMAL CONTROL OF A QUASISTATIC FRICTIONAL CONTACT PROBLEM WITH HISTORY-DEPENDENT OPERATORS

Author(s): LI, Yujie and Cheng, Xiaoliang and Wang, Xilu
Published in: INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2023, ISSN 1705-5105
Publisher: Institute for Scientific Computing and Information
DOI: 10.4208/ijnam2023-1002

Finite element method for a stationary stokes hemivariational inequality with slip boundary condition

Author(s): Changjie Fang, Kenneth Czuprynski, Weimin Han, Xiaoliang Cheng, and Xiaoxia Dai
Published in: IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, ISSN 0272-4979
Publisher: Oxford University Press
DOI: 10.1093/imanum/drz032

Optimality conditions, approximate stationarity, and applications - a story beyond lipschitzness

Author(s): Kruger, Alexander Y. and Mehlitz, Patrick
Published in: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2022, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2022024

A convergence criterion for elliptic variational inequalities

Author(s): Claudia Gariboldi, Anna Ochal, Mircea Sofonea and Domingo A. Tarzia
Published in: APPLICABLE ANALYSIS, 2024, ISSN 0003-6811
Publisher: Taylor & Francis
DOI: 10.1080/00036811.2023.2268636

Evolutionary quasi-variational-hemivariational inequalities: Existence and optimal control

Author(s): Shengda Zeng, Dumitru Motreanu, and Akhtar A. Khan
Published in: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-021-01963-3

Continuity results for parametric nonlinear singulardirichlet problems

Author(s): Yunru Bai, Dumitru Motreanu, and Shengda Zeng
Published in: ADVANCES IN NONLINEAR ANALYSIS, 2020, ISSN 2191-9496
Publisher: De Gruyter
DOI: 10.1515/anona-2020-0005

GAP FUNCTIONS AND GLOBAL ERROR BOUNDS FOR HISTORY-DEPENDENT VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

Author(s): Cen, Jinxia and Nguyen, Van Thien and Zeng, Shengda
Published in: JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, ISSN 2560-6921
Publisher: Publisher
DOI: 10.23952/jnva.6.2022.5.03

Anisotropic and isotropic implicit obstacle problems with nonlocal terms and multivalued boundary conditions

Author(s): Shengda Zeng, Leszek Gasinski, Vicentiu D. Radulescu, and Patrick Winkert
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2022.106997

Numerical analysis and simulations of a frictional contact problem with damage and memory

Author(s): Hailing Xuan and Xiaoliang Cheng
Published in: MATHEMATICAL CONTROL AND RELATED FIELDS, 2021, ISSN 2156-8472
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2021037

Quasi-newton algorithms for solving interval-valued multiobjective optimization problems by using their certain equivalence

Author(s): B. B. Upadhyay, Rupesh K. Pandey, Jinlan Pan, and Shengda Zeng
Published in: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2023.115550

Numerical analysis of a dynamic viscoplastic contact problem

Author(s): Xilu Wang and Xiaoliang Cheng
Published in: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2022, ISSN 0020-7160
Publisher: Taylor & Francis
DOI: 10.1080/00207160.2021.1955107

Non-classical two-phase Stefan problem with variable thermal coefficients

Author(s): Julieta Bollati and Adriana C. Briozzo
Published in: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2024.128094

Supercooled Stefan problem with a Neumann type boundary condition

Author(s): Adriana C. Briozzo
Published in: Electronic Journal of Differential Equations, Issue 2020, 2023, ISSN 1072-6691
Publisher: Texas State University - San Marcos
DOI: 10.58997/ejde.2020.49

Fractional partial differential variational inequality

Author(s): Jinxia Cen, J. Vanterler da C. Sousa and Wei Wu
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107600

Arbitrarily small nodal solutions for nonhomogeneous Robin problems

Author(s): Zeng, Shengda and Papageorgiou, Nikolaos S.
Published in: ASYMPTOTIC ANALYSIS, 2022, ISSN 0921-7134
Publisher: IOS Press
DOI: 10.3233/asy-211716

Exact solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms

Author(s): Bollati, Julieta and Natale, Maria F. and Semitiel, Jose A. and Tarzia, Domingo A.
Published in: COMPUTATIONAL \& APPLIED MATHEMATICS, 2022, ISSN 2238-3603
Publisher: Publisher
DOI: 10.1007/s40314-022-02095-8

Time-dependent elliptic quasi-variational-hemivariational inequalities: well-posedness and appli- cation

Author(s): Tie-jun Jiang, Dong-ling Cai, Yi-bin Xiao, and Stanislaw Migorski
Published in: JOURNAL OF GLOBAL OPTIMIZATION, 2023, ISSN 0925-5001
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10898-023-01324-6

Analysis of quasi-variational-hemivariational inequalities with applications to Bingham-type fluids

Author(s): Stanislaw Migorski, Yang Chao, Jiahong He and Sylwia Dudek
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2024.107968

Periodic systems with time dependent maximal monotone operators

Author(s): Zhenhai Liu and Nikolaos S. Papageorgiou
Published in: ACTA MATHEMATICA SCIENTIA, 2024, ISSN 0252-9602
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10473-024-0406-6

A weighted (p,2)-equation with double resonance

Author(s): Zhenhai Liu, Nikolaos S. Papageorgiou
Published in: Electronic Journal of Differential Equations, Issue 2023, 2023, Page(s) 30, ISSN 1072-6691
Publisher: Texas State University - San Marcos
DOI: 10.58997/ejde.2023.30

Tykhonov triples and convergence results for hemi-variational inequalities

Author(s): Rong Hu, Mircea Sofonea, and Yi-Bin Xiao
Published in: NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2021, ISSN 1392-5113
Publisher: Institute of Mathematics and Informatics
DOI: 10.15388/namc.2021.26.22429

A ONE-PHASE SPACE-FRACTIONAL STEFAN PROBLEM WITH NO LIQUID INITIAL DOMAIN

Author(s): Sabrina D. Roscani, Katarzyna Ryszewska and Lucas Venturato
Published in: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1461599

Existence and convergence results for an elastic frictional contact problem with non-monotone subdi_erential boundary conditions

Author(s): Yongjian Liu, Stanislaw Migorski, Van Thien Nguyen, and Shengda Zeng
Published in: ACTA MATHEMATICA SCIENTIA, 2021, ISSN 0252-9602
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10473-021-0409-5

Convergence of a double step scheme for a class of second order Clarke subdifferential inclusions

Author(s): Krzysztof Bartosz and Pawel Szafraniec
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2024.104092

Tykhonov well-posedness and convergence results for contact problems with unilateral constraints

Author(s): Mircea Sofonea and Meir Shillor
Published in: TECHNOLOGIES, 2021, ISSN 2227-7080
Publisher: Publisher
DOI: 10.3390/technologies9010001

Simultaneous distributed-boundary optimal control problems driven by nonlinear complemen-tarity systems

Author(s): Jinxia Cen, Tahar Haddad, Van Thien Nguyen, and Shengda Zeng
Published in: JOURNAL OF GLOBAL OPTIMIZATION, 2022, ISSN 0925-5001
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10898-022-01155-x

Tykhonov well-posedness of elliptic variational-hemivariational inequalities

Author(s): Mircea Sofonea and Yi-Bin Xiao
Published in: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, ISSN 1072-6691
Publisher: Texas State University - San Marcos

A survey of numerical methods for hemivariational inequalities with applications to contact mechanics

Author(s): Ochal, Anna and Jureczka, Michal and Bartman, Piotr
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2022.106563

A double phase equidiffusive logistic equation

Author(s): Zhenhai Liu and Nikolaos S. Papageorgiou
Published in: FILOMAT, 2023, ISSN 0354-5180
Publisher: Universitet of Nis

On a nonhomogeneous, nonlinear dirichlet eigenvalue problem

Author(s): Zhenhai Liu and Nikolaos S. S. Papageorgiou
Published in: MATHEMATISCHE NACHRICHTEN, 2023, ISSN 0025-584X
Publisher: Wiley - V C H Verlag GmbbH & Co.
DOI: 10.1002/mana.202200040

NUMERICAL ANALYSIS OF A GENERAL ELLIPTIC VARIATIONAL-HEMIVARIATIONAL INEQUALITY

Author(s): Han, Weimin and Sofonea, Mircea
Published in: JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, ISSN 2560-6921
Publisher: Publisher
DOI: 10.23952/jnva.6.2022.5.06

Inverse problems for nonlinear quasi-variational inequalities with an application to implicit obstacle problems of p-laplacian type

Author(s): Stanislaw Migorski, Akhtar A. Khan, and Shengda Zeng
Published in: INVERSE PROBLEMS, 2019, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/aafcc9

Well-posedness, optimal control, and sensitivity analysis for a class of differential variational-hemivariationalinequalities

Author(s): Shengda Zeng, Stanislaw Migorski, and Zhenhai Liu
Published in: SIAM JOURNAL ON OPTIMIZATION, 2021, ISSN 1052-6234
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1351436

A generalized penalty method for a new class of differential inequality system

Author(s): Ze Yuan, Zijia Peng, Zhenhai Liu and Stanislaw Migorski
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107704

Well-posedness of history-dependent sweeping processes

Author(s): Stanislaw Migorski, Mircea Sofonea, and Shengda Zeng
Published in: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1201561

Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities

Author(s): Emilio Vilches and Shengda Zeng
Published in: NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2021, ISSN 1392-5113
Publisher: Institute of Mathematics and Informatics
DOI: 10.15388/namc.2021.26.24941

A generalized Stokes system with a non-smooth slip boundary condition

Author(s): Zhao, Jing and Migorski, Stanislaw and Dudek, Sylwia
Published in: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2021.0353

OPTIMAL FEEDBACK CONTROL FOR A CLASS OF SECOND-ORDER EVOLUTION DIFFERENTIAL INCLUSIONS WITH CLARKE'S SUBDIFFERENTIAL

Author(s): Chen, Jun and Liu, Zhenhai and Lomovtsev, Fiodar E. and Obukhovskii, Vakeri
Published in: JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, ISSN 2560-6921
Publisher: Publisher
DOI: 10.23952/jnva.6.2022.5.08

DOUBLE PHASE IMPLICIT OBSTACLE PROBLEMS WITH CONVECTION AND MULTIVALUED MIXED BOUNDARY VALUE CONDITIONS

Author(s): Zeng, Shengda and Radulescu, Vicentiu D. and Winkert, Patrick
Published in: SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1441195

A new general class of systems of elliptic quasi-variational-hemivariational inequalities

Author(s): Stanislaw Migorski, Justyna Ogorzaly, and Sylwia Dudek
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107243

A history-dependent inclusion with applications in contact mechanics

Author(s): Tao Chen and Mircea Sofonea
Published in: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2022, ISSN 0163-0563
Publisher: Marcel Dekker Inc.
DOI: 10.1080/01630563.2022.2047062

Existence results for variational-hemivariational inequality systems with nonlinear couplings

Author(s): Yunru Bai, Nicusor Costea and Shengda Zeng
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2024.108026

A revisit of elliptic variational-hemivariational inequalities

Author(s): Weimin Han
Published in: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021, ISSN 0163-0563
Publisher: Marcel Dekker Inc.
DOI: 10.1080/01630563.2021.1881541

Well-posedness and global error bound for generalized mixed quasi-variational-hemivariational inequali- ties via regularized gap functions

Author(s): Nguyen Van Hung, Lijie Li, Stanislaw Migorski, and Tam Minh
Published in: OPTIMIZATION, 2023, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2023.2239839

A class of Hilfer fractional differential evolution hemivariational inequalities with history-dependent operators

Author(s): Zhao Jing, Zhenhai Liu and Nikolaos S. Papageorgiou
Published in: FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2024, ISSN 1311-0454
Publisher: Springer Science + Business Media
DOI: 10.1007/s13540-023-00228-2

A reaction-diffusion system governed by nonsmooth semipermeability problem

Author(s): Jinxia Cen, Guo-ji Tang, Van Thien Nguyen, and Shengda Zeng
Published in: APPLICABLE ANALYSIS, 2021, ISSN 0003-6811
Publisher: Taylor & Francis
DOI: 10.1080/00036811.2021.1921746

Analysis of rothe method for a variational- hemivariational inequality in adhesive contact problem for locking materials

Author(s): Xiaoliang Cheng, Hailing Xuan, and Qichang Xiao
Published in: INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, ISSN 1705-5105
Publisher: Institute for Scientific Computing and Information

Parametric anisotropic double phase free boundary problems with nonlocal terms and con- vection: Existence, stability and asymptotic behavior

Author(s): Jinxia Cen, Leszek Gasinski, Calogero Vetro, and Shengda Zeng
Published in: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES, 2023, ISSN 1937-1632
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/dcdss.2023097

Twin Positive Solutions for a Parametric Double Phase Equation with p, q-Growth

Author(s): Zhenhai Liu and Nikolaos S. Papageorgiou
Published in: MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, ISSN 1660-5446
Publisher: Birkhauser Verlag
DOI: 10.1007/s00009-023-02390-6

An inverse problem for bing-ham type fluids

Author(s): Jing Zhao, Jiahong He, Stanislaw Migorski, and Sylwia Dudek
Published in: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2021.113906

A nonsmooth optimization ap- proach for time-dependent hemivariational inequalities

Author(s): Michal Jureczka, Anna Ochal, and Piotr Bartman
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2023.103871

Caputo fractional differential variational-hemivariational inequalities involving history-dependent operators: Global error bounds and convergence

Author(s): Vo Minh Tam and Wei Wu
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107654

Reprint of: Tykhonov well-posedness of a rate-type viscoplastic constitutive law

Author(s): Mircea Sofonea
Published in: MECHANICS RESEARCH COMMUNICATIONS, 2021, ISSN 0093-6413
Publisher: Pergamon Press
DOI: 10.1016/j.mechrescom.2021.103712

Existence of solutions for fractional evolution inclusion with application to mechanical contactproblems

Author(s): Jinxia Cen, Yongjian Liu, Van Thien Nguyen, and Shengda Zeng
Published in: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, ISSN 0218-348X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218348x21400363

A singular eigenvalue problem for the dirichlet (p, q)-laplacian

Author(s): Yunru Bai, Nikolaos S. Papageorgiou, and Shengda Zeng
Published in: MATHEMATISCHE ZEITSCHRIFT, 2022, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-021-02803-w

Numerical analysis and simulation of an adhesive contact problem with damage and long memory

Author(s): Hailing Xuan and Xiaoliang Cheng
Published in: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, ISSN 1531-3492
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/dcdsb.2020205

Anisotropic (p, q)-equations with superlin-ear reaction

Author(s): Yunru Bai, Nikolaos S. Papageorgiou, and Shengda Zeng
Published in: RICERCHE DI MATEMATICA, 2022, ISSN 0035-5038
Publisher: Istituto di Matematica dell Universita
DOI: 10.1007/s11587-022-00702-8

Optimal control and approximation for elliptic bilateral obstacle problems

Author(s): Jinjie Liu, Xinmin Yang, and Shengda Zeng
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105938

Analysis and control of stationary inclusions in contact mechanics

Author(s): Mircea Sofonea
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2021.103335

Well-posedness of a general class of elliptic mixed hemivariational-variational inequalities

Author(s): Han, Weimin and Matei, Andaluzia
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2022.103553

Duality arguments in the analysis of a viscoelastic contact problem

Author(s): Piotr Bartman, Anna Ochal, and Mircea Sofonea
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107581

Stabilized low-order mixed finite element methods for a navier- stokes hemivariational inequality

Author(s): Weimin Han, Feifei Jing, and Yuan Yao
Published in: BIT NUMERICAL MATHEMATICS, 2023, ISSN 0006-3835
Publisher: Lunds Universitet
DOI: 10.1007/s10543-023-00985-9

Noncoercive hyperbolic variational-hemivariational inequalities with an application to contact problem

Author(s): Zijia Peng, Sheng Huang, and Cuiming Ma
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2023.103872

Minimax principles for elliptic mixed hemivariational-variational inequalities

Author(s): Weimin Han and Andaluzia Matei
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2021.103448

Existence of solutions for double phase obstacle problems with multivalued convection term

Author(s): Shengda Zeng, Leszek Gasinski, Patrick Winkert, and Yunru Bai
Published in: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2020.123997

Existence and convergence results for a nonlinear thermoelastic contact problem

Author(s): Jinjie Liu, Stanislaw Migorski, Xinmin Yang, and Shengda Zeng
Published in: JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2021, ISSN 2560-6921
Publisher: Biemdas

A Class of Double Phase Mixed Boundary Value Problems: Existence, Convergence and Optimal Control

Author(s): Zeng, Shengda and Bai, Yunru and Yao, Jen-Chih and Van Thien Nguyen
Published in: APPLIED MATHEMATICS AND OPTIMIZATION, 2022, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-022-09903-x

Analytical solution for a cylinder glacia- tion model with variable latent heat and thermal diffusivity

Author(s): Julieta Bollati, Adriana C. Briozzo, and Maria F. Natale
Published in: INTERNATIONAL JOURNAL OF NONLINEAR MECHANICS, 2023, ISSN 0020-7462
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.ijnonlinmec.2023.104362

A time-fractional of a viscoelastic frictionless contact problem with normal compliance

Author(s): Mustapha Bouallala, E. L. Hassan Essoufi, Van Thien Nguyen, and Wei Pang
Published in: EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2023, ISSN 1951-6355
Publisher: EDP Sciences
DOI: 10.1140/epjs/s11734-023-00962-x

Monotonicity Arguments for Variational-Hemivariational Inequalities in Hilbert Spaces

Author(s): Sofonea, Mircea
Published in: AXIOMS, 2022, ISSN 2075-1680
Publisher: Publisher
DOI: 10.3390/axioms11030136

Time periodic solutions to the evolutionary oseen model for a generalized newtonian incompress- ible fluid

Author(s): Jinxia Cen, Stanislaw Migorski, Emilio Vilches, and Shengda Zeng
Published in: ACTA MATHEMATICA SCIENTIA, 2023, ISSN 0252-9602
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10473-023-0413-z

On an anisotropic eigenvalue problem

Author(s): Zhenhai Liu and Nikolaos S. Papageorgiou
Published in: RESULTS IN MATHEMATICS, 2023, ISSN 1422-6383
Publisher: Springer Verlag
DOI: 10.1007/s00025-023-01954-y

Coupled double phase ob- stacle systems involving nonlocal functions and multivalued convection terms

Author(s): Yongjian Liu, Van Thien Nguyen, Patrick Winkert, and Shengda Zeng
Published in: MONATSHEFTE FUR MATHEMATIK, 2023, ISSN 0026-9255
Publisher: Springer Verlag
DOI: 10.1007/s00605-023-01825-2

A class of multivalued quasi- variational inequalities with applications

Author(s): Stanislaw Migorski, Yunru Bai, and Sylwia Dudek
Published in: APPLIED MATHEMATICS AND OPTIMIZATION, 2023, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-022-09941-5

Stefan problems for the diffusion-convection equation with temperature-dependent thermal coeffcients

Author(s): Julieta Bollati and Adriana C. Briozzo
Published in: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2021, ISSN 0020-7462
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.ijnonlinmec.2021.103732

Duality arguments for well-posedness of history-dependent variational inequalities

Author(s): Rong Hu, Mircea Sofonea
Published in: Electronic Journal of Differential Equations, Issue 2022, 2023, Page(s) 03, ISSN 1072-6691
Publisher: Texas State University - San Marcos
DOI: 10.58997/ejde.2022.03

An improved normal compliance method for dynamic hyperelastic problems with energy conservation property

Author(s): Mikael Barboteu, Francesco Bonaldi, David Danan, and Soad El-Hadri
Published in: An improved normal compliance method for dynamic hyperelastic problems with energy conservation property, 2023, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107296

Coupled variational inequalities: Existence, stability and optimal control

Numerical analysis for a new kind of obstacle problem

Author(s): Xiaoliang Cheng, Qinghua Ran, Xilu Wang, and Qichang Xiao
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105810

Saddle point formulations for a class of nonlinear boundary value problems

Author(s): Mariana Chivu Cojocaru and Andaluzia Matei
Published in: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2021, ISSN 1220-3874
Publisher: Societatea de Stiinte Matematice din Romania

Approximate solutions to one-phase stefan-like problems with space-dependent latent heat

Author(s): J. Bollati and D. A. Tarzia
Published in: EUROPEAN JOURNAL OF APPLIED MATHE- MATICS, 2021, ISSN 0956-7925
Publisher: Cambridge University Press
DOI: 10.1017/s0956792520000170

A multiplicity theorem for double phase degenerate Kirchhoff problems

Author(s): Jinxia Cen, Calogero Vetro and Shengda Zeng
Published in: APPLIED MATHEMATICS LETTERS, 2023, ISSN 0893-9659
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2023.108803

Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact

Author(s): M. T. Cao-Rial, G. Castineira, A. Rodriguez-Aros, and S. Roscani
Published in: COMMUNICATIONS IN NON- LINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105995

Numerical analysis of history-dependent variational–hemivariational inequalities with applications in contact mechanics

Author(s): Wei Xu, Ziping Huang, Weimin Han, Wenbin Chen, Cheng Wang
Published in: Journal of Computational and Applied Mathematics, Issue 351, 2024, Page(s) 364-377, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2018.08.046

Existence and uniqueness of the p-generalized modified error function

Author(s): Julieta Bollati, Jose A. Semitiel, Maria F. Natale, Domingo A. Tarzia
Published in: Electronic Journal of Differential Equations, Issue 2020, 2023, Page(s) 35, ISSN 1072-6691
Publisher: Texas State University - San Marcos
DOI: 10.58997/ejde.2020.35

History-dependent operators and prox-regular sweeping processes

Author(s): Florent Nacry and Mircea Sofonea
Published in: FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2022, ISSN 2730-5422
Publisher: Publisher
DOI: 10.1186/s13663-022-00715-w

A new elliptic mixed boundary value problem with (p, q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results

Author(s): Zeng, Shengda and Migorski, Stanislaw and Tarzia, Domingo A.
Published in: ANALYSIS AND APPLICATIONS, 2022, ISSN 0219-5305
Publisher: World Scientific
DOI: 10.1142/s0219530521500287

Well-posedness of fractional moreau’s sweeping processes of caputo type

Author(s): Shengda Zeng, Tahar Haddad, and Abderrahim Bouach
Published in: COMMUNICATIONS IN NONLIN- EAR SCIENCE AND NUMERICAL SIMULATION, 2023, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107361

Convergence of a generalized penalty and regularization method for quasi-variational-hemivariational inequalities

Author(s): Jinxia Cen, Lijie Li, Stanislaw Migorski, and Van Thien Nguyen
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105998

Existence of projected solutions for quasi-variational hemivariational inequality

Author(s): Fei Guan, Jinxia Cen, Boling Chen and Jen-Chih Yao
Published in: DEMONSTRATIO MATHEMATICA, 2024, ISSN 0420-1213
Publisher: Politechnika Warszawska
DOI: 10.1515/dema-2023-0139

Nonlinear parabolic double phase variable exponent systems with applications in image noise removal

Author(s): Abderrahim Charkaoui Anouar Ben-Loghfyry and Shengda Zeng
Published in: APPLIED MATHEMATICAL MODELLING, 2024, ISSN 0307-904X
Publisher: Elsevier BV
DOI: 10.1016/j.apm.2024.04.059

Singular anisotropic equations with a sign-changing perturbation

Author(s): Zhenhai Liu and Nikolaos S. Papageorgiou
Published in: NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2023, ISSN 1392-5113
Publisher: Institute of Mathematics and Informatics
DOI: 10.15388/namc.2023.28.33472

Inverse problems for a class of elliptic obstacle problems involving multivalued convection term and weighted (p, q)-Laplacian

Author(s): Zeng, Shengda and Migorski, Stanislaw and Khan, Akhtar A. and Yao, Jen-Chih
Published in: OPTIMIZATION, 2022, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2022.2088371

A deep neural network-based method for solving obstacle problems

Author(s): Xiaoliang Cheng, Xing Shen, Xilu Wang, and Kewei Liang
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2023.103864

Superlinear elliptic hemivari- ational inequalities

Author(s): Yunru Bai, Leszek Gasinski, and Nikolaos S. Papageorgiou
Published in: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2023, ISSN 2651-477X
Publisher: Hacettepe University
DOI: 10.15672/hujms.1173649

STABILITY ANALYSIS FOR A CONTAMINANT CONVECTION-REACTION-DIFFUSION MODEL OF RECOVERED FRACTURING FLUID

Author(s): Jinxia Cen, Stanislaw Migorski, Calogero Vetro and Shengda Zeng
Published in: JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2024, ISSN 2560-6921
Publisher: Publisher
DOI: 10.23952/jnva.8.2024.4.07

Tykhonov well-posedness of a heat transfer problem with unilateral constraints

Author(s): Mircea Sofonea and Domingo A. Tarzia
Published in: APPLICATIONS OF MATHEMATICS, 2022, ISSN 0862-7940
Publisher: Academy of Sciences of the Czech Republic
DOI: 10.21136/am.2021.0172-20

A new thin layer model for viscous flow between two nearby non-static surfaces

Author(s): Jose M. Rodriguez and Raquel Taboada-Vazquez
Published in: ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2023, ISSN 0044-2267
Publisher: John Wiley & Sons Ltd.
DOI: 10.1002/zamm.202200571

Existence and upper bound results for a class of nonlinear nonhomogeneous obstacle problems

Author(s): Tam, Vo Minh and Liao, Shanli
Published in: INDIAN JOURNAL OF PURE \& APPLIED MATHEMATICS, 2022, ISSN 0019-5588
Publisher: Scientific Publishers
DOI: 10.1007/s13226-022-00362-2

On second order differential inclusion driven by quasi-variational-hemivariational inequalities

Author(s): Yunshui Liang, Lu-Chuan Ceng, Jen-Chih Yao and Shengda Zeng
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2023.104060

A two-dimensional elastic contact problem with unilateral constraints

Author(s): Mircea Sofonea and Angel Aros
Published in: MATHEMATICS AND MECHANICS OF SOLIDS, 2024, ISSN 1081-2865
Publisher: SAGE Publications
DOI: 10.1177/10812865241247807

Differential evolution hemivariational inequalities with anti-periodic conditions

Author(s): Jing Zhao, Chun Mei Gan, and Zhen Hai Liu
Published in: ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, ISSN 1439-8516
Publisher: Springer Verlag
DOI: 10.1007/s10114-023-2065-2

Inverse problems for nonlinear quasi-variational hemivariational inequalities with application to obstacle problems of elliptic type

Author(s): Zijia Peng and Zhonghui Liu
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105889

Nonautonomous (p, q)-equations with unbalanced growth and competing nonlinearities

Author(s): Zhenhai Liu and Nikolaos S. Papageorgiou
Published in: JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2024, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2023.12.008

A differential variational inequality in the study of contact problems with wear

Author(s): Chen, Tao and Huang, Nan-Jing and Sofonea, Mircea
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2022.103619

Singular double phase equations

Author(s): Zhenhai Liu and Nikolaos S. Papageorgiou
Published in: ACTA MATHEMATICA SCIENTIA, 2023, ISSN 0252-9602
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10473-023-0304-3

Convergence of a double step scheme for a class of parabolic clarke subdifferential inclusions

Author(s): Krzysztof Bartosz, Pawel Szafraniec, and Jing Zhao
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMER- ICAL SIMULATION, 2021, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.105940

VISCOELASTIC ELLIPTIC MEMBRANE SHELLS ON BILATERAL FRICTIONAL CONTACT: AN ASYMPTOTIC APPROACH

Author(s): Aros, A. and Castineira, G. and Viano, J. M.
Published in: JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, ISSN 2560-6921
Publisher: Publisher
DOI: 10.23952/jnva.6.2022.5.02

Nodal solutions for anisotropic (p, q)-equations

Author(s): Zeng, Shengda and Papageorgiou, Nikolaos S.
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2022.103585

Existence and controllability for nonlinear fractional control systems with damping in hilbert spaces

Author(s): Xiuwen Li, Zhenhai Liu, Jing Li, and Chris Tisdell
Published in: ACTA MATHEMATICA SCIENTIA, 2019, ISSN 0252-9602
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10473-019-0118-5

Mathematical perspective on XFEM implementation for models involving contribution on interfaces

Author(s): M. T. Cao-Rial, C. Moreno and P. Quintela
Published in: MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, ISSN 0378-4754
Publisher: Elsevier BV
DOI: 10.1016/j.matcom.2023.11.012

Error bounds revisited

Author(s): Nguyen Duy Cuong and Alexander Y. Kruger
Published in: OPTIMIZATION, 2022, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2022.2032695

Estimation of a thermal conductivity in a stationary heat transfer problem with a solid-solid interface

Author(s): Guillermo Federico Umbricht, Diana Rubio, and Domingo Alberto Tarzia
Published in: INTERNATIONAL JOURNAL OF HEAT AND TECHNOLOGY, 2021, ISSN 0392-8764
Publisher: Edizioni ETS
DOI: 10.18280/ijht.390202

Determination of unknown thermal coefficients in a non-classical Stefan problem

Author(s): Bollati, Julieta and Briozzo, Adriana C. and Natale, Maria F.
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2022.103591

A NEW VARIANT OF FUZZY FRACTIONAL DYNAMIC SYSTEM DRIVEN BY TIME-DEPENDENT VARIATIONAL INEQUALITY

Author(s): Zeng, Shengda and Bai, Yunru and Yao, Jen-Chih and Van Thien Nguyen
Published in: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, ISSN 0218-348X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218348x22401740

A general differential quasi variational-hemivariational inequality: Well-posedness and application

Author(s): Stanislaw Migorski and Dong-ling Cai
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2023.107379

Inverse problems for constrained parabolic variational-hemivariational inequalities

Author(s): Stanislaw Migorski, Dong- ling Cai, and Yi-bin Xiao
Published in: INVERSE PROBLEMS, 2023, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/acdf7b

On a new class of abstract mixed variational-hemivariational problems

Author(s): Andaluzia Matei
Published in: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2021.106046

Positive solutions for a double phase eigenvalue problem

Author(s): Bai, Yunru and Papageorgiou, Nikolaos S. and Zeng, Shengda
Published in: POSITIVITY, 2022, ISSN 1385-1292
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11117-022-00945-7

Positive solutions for (p, q)-equations with convection and a sign-changing reaction

Author(s): Zeng, Shengda and Papageorgiou, Nikolaos S.
Published in: ADVANCES IN NONLINEAR ANALYSIS, 2022, ISSN 2191-9496
Publisher: Publisher
DOI: 10.1515/anona-2020-0176

Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional laplacian

Author(s): Shengda Zeng, Jinxia Cen, Abdon Atangana, and Van Thien Nguyen
Published in: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-020-01460-z

Convergence Analysis of a Power Penalty Approach for a Class of Nonlocal Double Phase Complementarity Systems

Author(s): Liu, Yongjian and Zeng, Shengda and Gasinski, Leszek and Kim, Yun-Ho
Published in: JOURNAL OF GEOMETRIC ANALYSIS, 2023, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-022-01067-y

Gap functions and global error bounds for differential variational-hemivariational inequalities

Author(s): Jinxia Cen, Chao Min, Van Thien Nguyen, and Jen-Chih Yao
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2022.103814

Asymptotic analysis of elliptic membrane shells in thermoelastodynamics

Author(s): M. T. Cao-Rial, G. Castineira, A. Rodriguez-Aros, and S. Roscani
Published in: JOURNAL OF ELASTICITY, 2021, ISSN 0374-3535
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10659-021-09820-0

A new class of generalized quasi- variational inequalities with applications to oseen problems under nons- mooth boundary conditions

Author(s): Shengda Zeng, Akhtar A. Khan, and Stanislaw Migorski
Published in: SCIENCE CHINA-MATHEMATICS, 2023, ISSN 1674-7283
Publisher: Zhongguo Kexue Zazhishe/Science in China Press
DOI: 10.1007/s11425-022-2069-0

Unified primal-dual active set method for dynamic frictional contact problems

Author(s): Stephane Abide, Mikael Barboteu, Soufiane Cherkaoui and Serge Dumont
Published in: FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2022, ISSN 2730-5422
Publisher: Publisher
DOI: 10.1186/s13663-022-00729-4

Tykhonov well-posedness of a frictionless unilat- eral contact problem

Author(s): Zhenhai Liu, Mircea Sofonea, and Yi-bin Xiao
Published in: MATHEMATICS AND MECHANICS OF SOLIDS, 2020, ISSN 1081-2865
Publisher: SAGE Publications
DOI: 10.1177/1081286519884347

A Pressure Projection Stabilized Mixed Finite Element Method for a Stokes Hemivariational Inequality

Author(s): Ling, Min and Han, Weimin and Zeng, Shengda
Published in: JOURNAL OF SCIENTIFIC COMPUTING, 2022, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-022-01871-2

Explicit solutions related to the rubinstein binary-alloy solidification problem with a heat flux or a convective condition at the fixed face

Author(s): Lucas D. Venturato, Mariela B. Cirelli, and Domingo A. Tarzia
Published in: MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, ISSN 0170-4214
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/mma.9187

Well-posedness of constrained evolutionary differential variational-hemivariational inequalities with applications

Author(s): Migorski, Stanislaw
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2022.103593

Well- posed constrainted problems with applications in contact mechanics

Author(s): Mikael Barboteu and Mircea Sofonea
Published in: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, ISSN 1468-1218
Publisher: Elsevier BV
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DOI: 10.1007/s11464-021-0019-5

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DOI: 10.1016/j.cma.2021.114153

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