Quasiconformal Methods in Analysis and Applications

Project Information

QUAMAP

Grant agreement ID: 834728

DOI

10.3030/834728

Project closed

EC signature date 17 April 2019

Start date 1 September 2019

End date 31 August 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 2 280 350,00

EU contribution

€ 2 280 350,00

Coordinated by

HELSINGIN YLIOPISTO
Finland

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 .

Publications

Peer reviewed articles (61)

On a Higher Dimensional Version of the Benjamin--Ono Equation

Author(s): Jonathan Hickman, Felipe Linares, Oscar G. Rian͂o, Keith M. Rogers, James Wright
Published in: SIAM Journal on Mathematical Analysis, Issue 51/6, 2019, Page(s) 4544-4569, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1241970

Metric geometry of spaces of persistence diagrams

Author(s): Mauricio Che, Fernando Galaz-García, Luis Guijarro, Ingrid Amaranta Membrillo Solis
Published in: Journal of Applied and Computational Topology, Issue 8, 2024, Page(s) 2197-2246, ISSN 2367-1726
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s41468-024-00189-2

Characterization of the subdifferential and minimizers for the anisotropic <i>p</i>-capacity

Author(s): Esther Cabezas-Rivas, Salvador Moll, Marcos Solera
Published in: Advances in Calculus of Variations, Issue 18, 2025, Page(s) 25-48, ISSN 1864-8258
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/acv-2023-0057

Rigorous results on conserved and dissipated quantities in ideal MHD turbulence

Author(s): Daniel Faraco; Sauli Lindberg; László Székelyhidi
Published in: Geophysical & Astrophysical Fluid Dynamics, Issue 116, 2022, ISSN 0309-1929
Publisher: Taylor & Francis
DOI: 10.1080/03091929.2022.2060964

The two-phase problem for harmonic measure in VMO

Author(s): Martí Prats, Xavier Tolsa
Published in: Calculus of Variations and Partial Differential Equations, Issue 59/3, 2020, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-020-01760-2

Steady-state solutions for the Muskat problem

Author(s): Omar Sánchez
Published in: Collectanea Mathematica, Issue 74, 2023, ISSN 0010-0757
Publisher: Seminario Matematico de Barcelona
DOI: 10.1007/s13348-021-00348-z

Weak solutions of anisotropic (and crystalline) inverse mean curvature flow as limits of p-capacitary potentials

Author(s): Esther Cabezas-Rivas, Salvador Moll, Marcos Solera
Published in: Journal of Functional Analysis, Issue 287, 2024, Page(s) 110642, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2024.110642

The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces

Author(s): André Guerra, Lukas Koch, Sauli Lindberg
Published in: Calculus of Variations and Partial Differential Equations, Issue 60/2, 2021, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-021-01931-9

On the proof of Taylor’s conjecture in multiply connected domains

Author(s): Daniel Faraco, Sauli Lindberg, David MacTaggart, Alberto Valli
Published in: Applied Mathematics Letters, Issue 122, 2022, Page(s) Paper 107654, 7pp., ISSN 0893-9659
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2021.107654

Mathematical modeling, analysis and control in soft robotics: a survey

Author(s): Rogelio Ortigosa-Martínez, Jesús Martínez-Frutos, Carlos Mora-Corral, Pablo Pedregal, Francisco Periago
Published in: SeMA Journal, Issue 81, 2024, Page(s) 147-164, ISSN 2254-3902
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s40324-023-00334-4

Harmonic Dipoles and the Relaxation of the Neo-Hookean Energy in 3D Elasticity

Author(s): Marco Barchiesi, Duvan Henao, Carlos Mora-Corral, Rémy Rodiac
Published in: Archive for Rational Mechanics and Analysis, Issue 247, 2023, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-023-01897-2

Magnetic helicity, weak solutions and relaxation of ideal MHD

Author(s): Faraco, Daniel; Lindberg, Sauli; Székelyhidi Jr, László
Published in: Communications on Pure and Applied Mathematics, Issue 77, 2024, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.22168

Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale

Author(s): Kari Astala, Martí Prats, Eero Saksman
Published in: Journal de Mathématiques Pures et Appliquées, Issue 186, 2024, Page(s) 205-250, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2024.04.008

Improved bounds for the Kakeya maximal conjecture in higher dimensions

Author(s): Hickman, Jonathan; Rogers, Keith M.; Zhang, Ruixiang
Published in: American Journal of Mathematics, Issue 144, 2022, ISSN 0002-9327
Publisher: The Johns Hopkins University Press
DOI: 10.1353/ajm.2022.0037

Bounded Solutions of Ideal MHD with Compact Support in Space-Time

Author(s): Daniel Faraco, Sauli Lindberg, László Székelyhidi
Published in: Archive for Rational Mechanics and Analysis, Issue 239/1, 2021, Page(s) 51-93, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-020-01570-y

Eringen’s model via linearization of nonlocal hyperelasticity

Author(s): José C Bellido; Javier Cueto; Carlos Mora-Corral
Published in: Mathematics and Mechanics of Solids, Issue 29, 2024, ISSN 1081-2865
Publisher: SAGE Publications
DOI: 10.1177/10812865231208437

Khinchin Families, Set Constructions, Partitions and Exponentials

Author(s): Cantón, Alicia; Fernández Pérez, José Luis; Fernández Gallardo, Pablo; Macía Medina, Víctor Joel
Published in: Mediterranean Journal of Mathematics, Issue 21, 2024, ISSN 1660-5446
Publisher: Birkhauser Verlag
DOI: 10.1007/s00009-023-02579-9

Sobolev homeomorphic extensions from two to three dimensions

Author(s): Stanislav Hencl; Aleksis Koski; Jani Onninen
Published in: Journal of Functional Analysis, Issue 286, 2024, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2024.110371

Invertibility of Sobolev maps through approximate invertibility at the boundary and tangential polyconvexity

Author(s): Carlos Mora-Corral, David Mur-Callizo
Published in: ESAIM: Control, Optimisation and Calculus of Variations, Issue 31, 2025, Page(s) 39, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2025028

Dissipative Euler Flows Originating from Circular Vortex Filaments

Author(s): Francisco Gancedo, Antonio Hidalgo-Torné, Francisco Mengual
Published in: Annals of PDE, Issue 11, 2025, ISSN 2524-5317
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s40818-025-00211-5

Asymptotic Shallow Models Arising in Magnetohydrodynamics

Author(s): Diego Alonso-Orán
Published in: Water Waves, Issue 3/2, 2021, Page(s) 371-398, ISSN 2523-367X
Publisher: Springer
DOI: 10.1007/s42286-021-00050-4

On mappings of finite distortion that are quasiconformal in the unit disk

Author(s): Olli Hirviniemi, Lauri Hitruhin,István Prause, Eero Saksman
Published in: Journal d'Analyse Mathématique, Issue 149, 2023, ISSN 0021-7670
Publisher: Magnes Press
DOI: 10.1007/s11854-022-0248-x

Bi-Sobolev Extensions

Author(s): Koski, Aleksis; Onninen, Jani
Published in: The Journal of Geometric Analysis, Issue 33, 2023, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-023-01363-1

Off-diagonal estimates for the helical maximal function

Author(s): Beltran, David; Duncan, Jennifer; Hickman, Jonathan
Published in: Proceedings of the London Mathematical Society, Issue 128, 2023, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12594

Lower semicontinuity, Stoilow factorization and principal maps

Author(s): Kari Astala, Daniel Faraco, André Guerra, Aleksis Koski, Jan Kristensen
Published in: Communications on Pure and Applied Analysis, Issue 23, 2024, Page(s) 1608-1645, ISSN 1534-0392
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2024069

Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs

Author(s): Guerra, André; Koch, Lukas; Lindberg, Sauli
Published in: Advances in Mathematics, Issue 415, 2023, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.108869

On the lack of compactness in the axisymmetric neo-Hookean model

Author(s): Marco Barchiesi, Duvan Henao, Carlos Mora-Corral, Rémy Rodiac
Published in: Forum of Mathematics, Sigma, Issue 12, 2024, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2024.9

Extension of planar Hölder homeomorphisms

Author(s): Stanislav Hencl, Aleksis Koski
Published in: Journal of the London Mathematical Society, Issue 110, 2024, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12970

Variational Models with Eulerian–Lagrangian Formulation Allowing for Material Failure

Author(s): Marco Bresciani, Manuel Friedrich, Carlos Mora-Corral
Published in: Archive for Rational Mechanics and Analysis, Issue 249, 2025, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-024-02076-7

Segmentation in Measure Spaces

Author(s): Salvador Moll, Vicent Pallardó-Julià, Marcos Solera
Published in: Applied Mathematics & Optimization, Issue 89, 2024, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-024-10134-5

Entropy solutions to the macroscopic incompressible porous media equation

Author(s): Ángel Castro, Daniel Faraco, Björn Gebhard
Published in: Analysis &amp; PDE, Issue 18, 2025, Page(s) 2241-2292, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2025.18.2241

Homogenization of iterated singular integrals with applications to random quasiconformal maps

Author(s): Astala, Kari; Rohde, Steffen; Saksman, Eero; Tao, Terence
Published in: Revista Matemática Iberoamericana, Issue 38, 2022, ISSN 0213-2230
Publisher: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1392

Unique determination of the electric potential in the presence of a fixed magnetic potential in the plane

Author(s): Pedro Caro, Keith Rogers
Published in: Journées Équations aux dérivées partielles, Issue 2019-06-19, 2018, Page(s) 1-9, ISSN 0752-0360
Publisher: CEDRAM, CNRS
DOI: 10.5802/jedp.667

Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion

Author(s): A. Clop; L. Hitruhin; B. Sengupta
Published in: The Journal of Geometric Analysis, Issue 32, 2022, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-022-00950-y

Phase‐Field Modeling of Fracture Under Compression and Confinement in Anisotropic Geomaterials

Author(s): Maryam Hakimzadeh, Carlos Mora‐Corral, Noel Walkington, Giuseppe Buscarnera, Kaushik Dayal
Published in: International Journal for Numerical and Analytical Methods in Geomechanics, Issue 49, 2025, Page(s) 1319-1335, ISSN 0363-9061
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/nag.3933

Improved Hölder regularity for strongly elliptic PDEs

Author(s): Kari Astala, Albert Clop, Daniel Faraco, Jarmo Jääskeläinen, Aleksis Koski
Published in: Journal de Mathématiques Pures et Appliquées, Issue 140, 2020, Page(s) 230-258, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2020.06.005

Mixing solutions for the Muskat problem

Author(s): A. Castro, D. Córdoba, D. Faraco
Published in: Inventiones mathematicae, Issue 226/1, 2021, Page(s) 251-348, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-021-01045-1

Energy Minimisers with Prescribed Jacobian.

Author(s): André Guerra, Lukas Koch, Sauli Lindberg
Published in: Archive for Rational Mechanics and Analysis, Issue 10, 2022, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-021-01699-4

Nonlocal gradients: Fundamental theorem of calculus, Poincaré inequalities, and embeddings

Author(s): José Carlos Bellido, Carlos Mora‐Corral, Hidde Schönberger
Published in: Journal of the London Mathematical Society, Issue 112, 2025, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.70277

A Relaxation Approach to the Minimization of the Neo-Hookean Energy in 3D

Author(s): Marco Barchiesi, Duvan Henao, Carlos Mora-Corral, Rémy Rodiac
Published in: SIAM Journal on Mathematical Analysis, Issue 56, 2024, Page(s) 7830-7845, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1614547

Tests for Almost Stochastic Dominance

Author(s): Amparo Baíllo, Javier Cárcamo, Carlos Mora-Corral
Published in: Journal of Business &amp; Economic Statistics, Issue 43, 2025, Page(s) 338-350, ISSN 0735-0015
Publisher: American Statistical Association
DOI: 10.1080/07350015.2024.2374274

Limiting Carleman weights and conformally transversally anisotropic manifolds

Author(s): Pablo Angulo, Daniel Faraco, Luis Guijarro, Mikko Salo
Published in: Transactions of the American Mathematical Society, Issue 373/7, 2020, Page(s) 5171-5197, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8072

Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity

Author(s): Martí Prats
Published in: Journal of Approximation Theory, Issue 297, 2024, ISSN 0021-9045
Publisher: Academic Press
DOI: 10.1016/j.jat.2023.105985

H-principle for the 2D incompressible porous media equation with viscosity jump

Author(s): Mengual, Francisco
Published in: Analysis & PDE, Issue 15, 2022, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2022.15.429

A nonlinear mean value property for Monge-Ampere

Author(s): Pablo Blanc, Fernando Charro, Juan Manfredi, Julio Rossi
Published in: Journal of Convex Analysis, Issue 28/2, 2021, Page(s) 353-386, ISSN 0944-6532
Publisher: Heldermann Verlag
DOI: 10.48550/arxiv.2006.10024

Shape-Programming in Hyperelasticity Through Differential Growth

Author(s): Rogelio Ortigosa-Martínez, Jesús Martínez-Frutos, Carlos Mora-Corral, Pablo Pedregal, Francisco Periago
Published in: Applied Mathematics &amp; Optimization, Issue 89, 2024, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-024-10117-6

Remarks On Ornstein’s Non-Inequality In ℝ2×2

Author(s): Daniel Faraco, André Guerra
Published in: The Quarterly Journal of Mathematics, Issue 73/1, 2021, Page(s) 17-21, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmath/haab016

Localized Mixing Zone for Muskat Bubbles and Turned Interfaces

Author(s): Castro, A.; Faraco Hurtado, Daniel; Mengual, F.
Published in: Annals of PDE, Issue 8, 2022, ISSN 2199-2576
Publisher: Springer
DOI: 10.1007/s40818-022-00121-w

Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime

Author(s): Víctor Arnaiz, Ángel Castro, Daniel Faraco
Published in: Communications in Partial Differential Equations, Issue 46/1, 2021, Page(s) 135-164, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.1080/03605302.2020.1831019

On a degenerate elliptic problem arising in the least action principle for Rayleigh–Taylor subsolutions

Author(s): Björn Gebhard, Jonas Hirsch, József J. Kolumbán
Published in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Issue 41, 2025, Page(s) 1527-1594, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.4171/aihpc/129

A proof of Vishik’s nonuniqueness theorem for the forced 2D Euler equation

Author(s): Ángel Castro, Daniel Faraco, Francisco Mengual, Marcos Solera
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), Issue 824, 2025, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2025-0025

Lamination Convex Hull of Stationary Incompressible Porous Media Equations

Author(s): Lauri Hitruhin, Sauli Lindberg
Published in: SIAM Journal on Mathematical Analysis, Issue 53/1, 2021, Page(s) 491-508, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m134633x

Non-uniqueness of Admissible Solutions for the 2D Euler Equation with $$L^p$$ Vortex Data

Author(s): Francisco Mengual
Published in: Communications in Mathematical Physics, Issue 405, 2024, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-024-05065-9

A Note on the Jacobian Problem of Coifman, Lions, Meyer and Semmes

Author(s): Sauli Lindberg
Published in: Journal of Fourier Analysis and Applications, Issue 29, 2023, ISSN 1069-5869
Publisher: Birkhaeuser
DOI: 10.1007/s00041-023-10041-3

Improved Fourier restriction estimates in higher dimensions

Author(s): Jonathan Hickman, Keith M. Rogers
Published in: Cambridge Journal of Mathematics, Issue 7/3, 2019, Page(s) 219-282, ISSN 2168-0930
Publisher: International Press
DOI: 10.4310/cjm.2019.v7.n3.a1

Minimizers for the Thin One-Phase Free Boundary Problem

Author(s): Max Engelstein, Aapo Kauranen, Marti Prats, Georgios Sakellaris, Yannick Sire
Published in: Communications on pure and applied mathematics, Issue 74/9, 2021, Page(s) 1971-2022, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.22011

Reconstruction for the Calderón problem withLipschitz conductivities

Author(s): Pedro Caro, María Ángeles García-Ferrero, Keith M. Rogers
Published in: Analysis &amp; PDE, Issue 18, 2025, Page(s) 2033-2060, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2025.18.2033

Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign

Author(s): Mengual, Francisco; Székelyhidi, László
Published in: Communications on Pure and Applied Mathematics, Issue 76, 2024, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.22038

Relaxation of the kinematic dynamo equations

Author(s): Lauri Hitruhin, Sauli Lindberg
Published in: Proceedings of the American Mathematical Society, Issue 152, 2024, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/16992

Dimer models and conformal structures

Author(s): Kari Astala, Erik Duse, István Prause, Xiao Zhong
Published in: Communications on Pure and Applied Mathematics, 2025, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.70014

Non-local gradients in bounded domains motivated by continuum mechanics: Fundamental theorem of calculus and embeddings

Author(s): José Carlos Bellido, Javier Cueto, Carlos Mora-Corral
Published in: Advances in Nonlinear Analysis, Issue 12, 2023, ISSN 2191-950X
Publisher: De Gruyter
DOI: 10.1515/anona-2022-0316