Jean-Philippe Mandallena

MIPA (Mathématiques, Informatique, Physique et Applications), Université de Nîmes, France
56
Documents

Publications

Publications

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New results on relaxation and homogenization of unbounded singular integrals

Omar Anza Hafsa , Mohamed Lamine Leghmizi , Jean-Philippe Mandallena
Ricerche di matematica, 2025, ⟨10.1007/s11587-025-00932-6⟩
Article dans une revue hal-04804292 v1
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Nonlocal time delays reaction-diffusion problems of gradient flow type: existence, stochastic homogenization

Omar Anza Hafsa , Jean-Philippe Mandallena , Gérard Michaille
Evolution Equations and Control Theory, 2025, ⟨10.3934/eect.2025010⟩
Article dans une revue hal-04227857 v1
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Stochastic homogenization of nonlocal reaction-diffusion problems of gradient flow type

Omar Anza Hafsa , Jean-Philippe Mandallena , Gérard Michaille
Journal of Elliptic and Parabolic Equations, In press, ⟨10.1007/s41808-024-00264-w⟩
Article dans une revue hal-04008187 v2
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Remarks on homogenization and 3d-2d dimension reduction of unbounded energies on thin films

Omar Anza Hafsa , Jean-Philippe Mandallena
Comptes Rendus. Mathématique, 2023, 361 (G5), pp.903-910. ⟨10.5802/crmath.454⟩
Article dans une revue hal-03778791 v1
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Radial extension of Γ-limits

Omar Anza Hafsa , Jean-Philippe Mandallena
Bollettino dell'Unione Matematica Italiana, In press, ⟨10.1007/s40574-023-00356-w⟩
Article dans une revue hal-03727996 v1
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Γ-convergence of nonconvex unbounded integrals in strongly connected sets

Omar Anza Hafsa , Jean-Philippe Mandallena
Applicable Analysis, In press, pp.1-29. ⟨10.1080/00036811.2023.2261187⟩
Article dans une revue hal-03715859 v1
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Stochastic homogenization of nonconvex integrals in the space of functions of bounded deformation

Omar Anza Hafsa , Jean-Philippe Mandallena
Asymptotic Analysis, In press, ⟨10.3233/ASY-221772⟩
Article dans une revue hal-02411552 v1
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Integral representation and relaxation of local functionals on Cheeger-Sobolev spaces

Omar Anza Hafsa , Jean-Philippe Mandallena
Nonlinear Analysis: Theory, Methods and Applications, 2022, 217, ⟨10.1016/j.na.2021.112744⟩
Article dans une revue hal-03270938 v2
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Convergence and stochastic homogenization of nonlinear integrodifferential reaction-diffusion equations via Mosco × Γ-convergence

Omar Anza Hafsa , Jean-Philippe Mandallena , Gérard Michaille
Annales Mathématiques Blaise Pascal, 2022, 29 (1), pp.1-50. ⟨10.5802/ambp.406⟩
Article dans une revue hal-02357210 v1
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Γ-convergence of nonconvex unbounded integrals in Cheeger-Sobolev spaces

Omar Anza Hafsa , Jean-Philippe Mandallena
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, In press, ⟨10.2422/2036-2145.202105_030⟩
Article dans une revue hal-02295632 v3
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Integral representation of unbounded variational functionals on Sobolev spaces

Omar Anza Hafsa , Jean-Philippe Mandallena
Ricerche di matematica, In press, ⟨10.1007/s11587-021-00652-7⟩
Article dans une revue hal-03270923 v1

An existence theorem for non-homogeneous differential inclusions in Sobolev spaces

Jean-Philippe Mandallena , Mikhail Sychev
Advances in Calculus of Variation, 2021, 14 (3), pp.313-326. ⟨10.1515/acv-2018-0076⟩
Article dans une revue hal-03348501 v1
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Convergence and stochastic homogenization of a class of two components nonlinear reaction-diffusion systems

Omar Anza Hafsa , Jean-Philippe Mandallena , Gérard Michaille
Asymptotic Analysis, 2021, 121, pp.259-305. ⟨10.3233/ASY-201603⟩
Article dans une revue hal-02296179 v1
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Convergence of a class of nonlinear time delays reaction-diffusion equations

Omar Anza Hafsa , Jean-Philippe Mandallena , Gérard Michaille
Nonlinear Differential Equations and Applications, 2020, 27 (2), Paper No. 20, 48 pp. ⟨10.1007/s00030-020-0626-y⟩
Article dans une revue hal-02296178 v1
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Lower semicontinuity of integrals of the calculus of variations in Cheeger-Sobolev spaces

Omar Anza Hafsa , Jean Philippe Mandallena
Calculus of Variations and Partial Differential Equations, 2020, 59 (2), ⟨10.1007/s00526-020-1702-1⟩
Article dans une revue hal-02295885 v1
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Continuity theorem for non-local functionals indexed by Young measures and stochastic homogenization

Omar Anza Hafsa , Jean-Philippe Mandallena , Gérard Michaille
Journal de Mathématiques Pures et Appliquées, 2020, 136, pp.158-202. ⟨10.1016/j.matpur.2020.02.003⟩
Article dans une revue hal-01928268 v1
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On subadditive theorems for group actions and homogenization

Omar Anza Hafsa , Jean-Philippe Mandallena
Bulletin des Sciences Mathématiques, 2020, 158, pp.102821. ⟨10.1016/j.bulsci.2019.102821⟩
Article dans une revue hal-02512875 v1
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Stability of a class of nonlinear reaction-diffusion equations and stochastic homogenization

Omar Anza Hafsa , Jean Philippe Mandallena , Gérard Michaille
Asymptotic Analysis, 2019, 115 (3-4), pp.169-221. ⟨10.3233/ASY-191531⟩
Article dans une revue hal-01928187 v1

A necessary and sufficient condition for $C^1$-regularity of solutions of one-dimensional variational obstacle problems

Jean-Philippe Mandallena
Rendiconti del Seminario Matematico della Università di Padova, 2019, 142, pp.103-134. ⟨10.4171/RSMUP/33⟩
Article dans une revue hal-02387480 v1

New relaxation theorems with applications to strong materials

Jean-Philippe Mandallena , Mikhail Sychev
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2018, 148 (5), pp.1029-1047. ⟨10.1017/S0308210518000082⟩
Article dans une revue hal-02010017 v1

On the regularity of solutions of one-dimensional variational obstacle problems

Jean-Philippe Mandallena
Advances in Calculus of Variation, 2018, 11 (2), pp.203 - 222. ⟨10.1515/acv-2016-0030⟩
Article dans une revue hal-01783514 v1
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Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger–Sobolev spaces

Omar Anza Hafsa , Jean-Philippe Mandallena
Bulletin des Sciences Mathématiques, 2018, 142, pp.49-93. ⟨10.1016/j.bulsci.2017.09.002⟩
Article dans une revue hal-01662240 v1
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Γ-convergence of nonconvex integrals in Cheeger-Sobolev spaces and homogenization

Omar Anza Hafsa , Jean-Philippe Mandallena
Advances in Calculus of Variation, 2017, 10 (4), pp.381-405. ⟨10.1515/acv-2015-0053⟩
Article dans une revue hal-01598975 v1
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Homogenization of nonconvex unbounded singular integrals

Omar Anza Hafsa , Nicolas Clozeau , Jean-Philippe Mandallena
Annales Mathématiques Blaise Pascal, 2017, 24 (2), pp.135-193. ⟨10.5802/ambp.367⟩
Article dans une revue hal-01644535 v1
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Γ-Limits of Functionals Determined by their Infima

Omar Anza Hafsa , Jean-Philippe Mandallena
Journal of Convex Analysis, 2016, 23 (1), pp.103-137
Article dans une revue hal-01400390 v1

New classes of integral functionals for which the integral representation of lower semicontinuous envelopes is valid

Jean-Philippe Mandallena , Mikhail Sychev
Доклады Академии Наук / Doklady Mathematics, 2016, 94 (1), pp.430-433. ⟨10.1134/S1064562416040207⟩
Article dans une revue hal-01400352 v1
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Homogenization of unbounded integrals with quasiconvex growth

Omar Anza Hafsa , Jean-Philippe Mandallena , Hamdi Zorgati
Annali di Matematica Pura ed Applicata, 2015, 194 (6), pp.1619-1648. ⟨10.1007/s10231-014-0437-z⟩
Article dans une revue hal-01302578 v1
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Radial representation of lower semicontinuous envelope

Omar Anza Hafsa , Jean-Philippe Mandallena
Bollettino dell'Unione Matematica Italiana, 2014, 7 (1), pp.1-18. ⟨10.1007/s40574-014-0001-1⟩
Article dans une revue hal-00958312 v1
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On the relaxation of variational integrals in metric Sobolev spaces

Omar Anza Hafsa , Jean-Philippe Mandallena
Advances in Calculus of Variation, 2014, 8 (1), pp.69-91. ⟨10.1515/acv-2013-0207⟩
Article dans une revue hal-00959117 v1

Localization principle and relaxation

Jean-Philippe Mandallena
Advances in Calculus of Variation, 2013, 6 (2), pp.217-246. ⟨10.1515/acv-2013-0101⟩
Article dans une revue hal-01400348 v1

Lower semicontinuity via W^{1,q}-quasiconvexity

Jean-Philippe Mandallena
Bulletin des Sciences Mathématiques, 2013, Bulletin des Sciences Mathématiques, 137 (5), pp.602-616. ⟨10.1016/j.bulsci.2012.12.004⟩
Article dans une revue hal-01399651 v1
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Homogenization of unbounded singular integrals in W1,∞

Omar Anza Hafsa , Jean-Philippe Mandallena
Ricerche di matematica, 2012, 61 (2), pp.185-217. ⟨10.1007/s11587-011-0124-y⟩
Article dans une revue hal-00798877 v1
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Relaxation and 3d-2d Passage Theorems in Hyperelasticity

Omar Anza Hafsa , Jean-Philippe Mandallena
Journal of Convex Analysis, 2012, 19 (3), pp.759-794
Article dans une revue hal-00797479 v1
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Homogenization of nonconvex integrals with convex growth

Omar Anza Hafsa , Jean-Philippe Mandallena
Journal de Mathématiques Pures et Appliquées, 2011, 96 (2), pp.167-189. ⟨10.1016/j.matpur.2011.03.003⟩
Article dans une revue hal-00797715 v1
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On a homogenization technique for singular integrals

Omar Anza Hafsa , Mohammed Lamine Leghmizi , Jean-Philippe Mandallena
Asymptotic Analysis, 2011, 74 (3-4), pp.123-134. ⟨10.3233/ASY-2011-1042⟩
Article dans une revue hal-00797473 v1
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The nonlinear membrane energy: variational derivation under the constraint $\det \nabla u > 0$

Omar Anza Hafsa , Jean-Philippe Mandallena
Bulletin des Sciences Mathématiques, 2008, 132, pp.272-291. ⟨10.1016/j.bulsci.2007.05.004⟩
Article dans une revue istex hal-00584064 v1

Relaxation theorems in nonlinear elasticity

Omar Anza Hafsa , J.P. Mandallena
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2008, 25, pp.135-148. ⟨10.1016/j.anihpc.2006.11.005⟩
Article dans une revue hal-00584068 v1

Relaxation of variational problems in two dimensional nonlinear elasticity

Omar Anza Hafsa , J.P. Mandallena
Annali di Matematica Pura ed Applicata, 2007, 186, pp.187-198. ⟨10.1007/s10231-005-0177-1⟩
Article dans une revue hal-00584066 v1

Homogenization of periodic nonconvex integral functionnals in terms of young measures

Omar Anza Hafsa , J.P. Mandallena , Gérard Michaille
ESAIM: Control, Optimisation and Calculus of Variations, 2006, 12, pp.35-51. ⟨10.1051/cocv:2005031⟩
Article dans une revue hal-00584062 v1

The nonlinear membrane energy: variational derivation under the constraint "det[backward difference]u>0

Omar Anza Hafsa , Jean-Philippe Mandallena
Journal de Mathématiques Pures et Appliquées, 2006, 86 (2), pp.100-115. ⟨10.1016/j.matpur.2006.01.004⟩
Article dans une revue hal-00584067 v1

Quasiconvexification of geometric integrals

Jean-Philippe Mandallena
Annali di Matematica Pura ed Applicata, 2005, 184 (4), pp.473 - 493. ⟨10.1007/s10231-004-0123-7⟩
Article dans une revue istex hal-01644843 v1

Multi-parameter homogenization by localization and blow-up

Felipe Alvarez , Jean-Philippe Mandallena
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2004, 134 (05), pp.801-814. ⟨10.1017/S0308210500003498⟩
Article dans une revue hal-01645099 v1

Relaxation of second order geometric integrals and non-local effects

Omar Anza Hafsa , Jean-Philippe Mandallena
Journal of Nonlinear and Convex Analysis, 2004, 5 (3), pp.295-306
Article dans une revue hal-01646612 v1

Interchange of infimum and integral

Omar Anza Hafsa , Jean-Philippe Mandallena
Calculus of Variations and Partial Differential Equations, 2003, 18 (4), pp.433 - 449. ⟨10.1007/s00526-003-0211-3⟩
Article dans une revue istex hal-01646541 v1

Homogenization of multiparameter integrals

Felipe Alvarez , Jean-Philippe Mandallena
Nonlinear Analysis: Theory, Methods and Applications, 2002, 50 (6), pp.839 - 870. ⟨10.1016/S0362-546X(01)00788-X⟩
Article dans une revue hal-01645095 v1

On the relaxation of nonconvex superficial integral functionals

Jean-Philippe Mandallena
Journal de Mathématiques Pures et Appliquées, 2000, 79 (10), pp.1011 - 1028. ⟨10.1016/S0021-7824(00)01184-3⟩
Article dans une revue hal-01644831 v1
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$\Gamma$-convergence and stochastic homogenization of integral functionals defined on measures

Omar Anza Hafsa , Jean-Philippe Mandallena , Gérard Michaille
2024
Pré-publication, Document de travail hal-04824511 v1
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REMARK ON LOWER SEMICONTINUITY OF UNBOUNDED QUASICONVEX INTEGRALS

Omar Anza Hafsa , Jean-Philippe Mandallena
2024
Pré-publication, Document de travail hal-04830849 v1
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Variational convergence of nonlocal integrodifferential diffusion problems of gradient flow type

Omar Anza Hafsa , Jean-Philippe Mandallena , Gérard Michaille
2024
Pré-publication, Document de travail hal-04553370 v1
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Subadditive theorems in metric measure spaces and homogenization in Cheeger-Sobolev spaces

Omar Anza Hafsa , Jean-Philippe Mandallena
2019
Pré-publication, Document de travail hal-02004618 v1
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$\Gamma$-convergence of nonconvex integrals defined on Sobolev functions and vector measures

Omar Anza Hafsa , Jean Philippe Mandallena , Hamdi Zorgati
2019
Pré-publication, Document de travail hal-02296036 v1

On the relaxation of unbounded multiple integrals

Omar Anza Hafsa , Jean Philippe Mandallena
2012
Pré-publication, Document de travail hal-00958314 v1

Relaxation and 3d-2d passage with determinant type constraints: an outline

Omar Anza Hafsa , Jean-Philippe Mandallena
2009
Pré-publication, Document de travail hal-00801088 v1

Relaxation et passage 3D-2D avec contraintes de type déterminant

Omar Anza Hafsa , Jean-Philippe Mandallena
2009
Pré-publication, Document de travail hal-00801654 v1