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Nonsmooth Contact Dynamics

Deliverables

Report on intermediate workshop of the project.

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

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
DOI: 10.3934/eect.2020045

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
DOI: 10.1007/s00245-020-09703-1

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
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
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
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
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
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
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
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
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
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
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
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
DOI: 10.1017/s0956792520000030

Inverse Problems for Nonlinear Quasi-Variational Inequalities with an Application to Implicit Obstacle Problems of $p$-Laplacian Type

Author(s): S. Migorski, A.A. Khan, S. Zeng
Published in: Inverse Problems, 2019, ISSN 0266-5611

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
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
DOI: 10.1007/s11075-019-00667-0

Numerical Analysis of a Contact Problem with Wear

Author(s): Danfu Han, Weimin Han, Michal Jureczka, Anna Ochal
Published in: 2019