Jean-Philippe Mandallena

MIPA (Mathématiques, Informatique, Physique et Applications), Nîmes Université, France
59
Documents

Publications

Publications

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Variational convergence of nonlocal integrodifferential diffusion problems of gradient flow type

Omar Anza Hafsa , Jean-Philippe Mandallena , Gérard Michaille

Communications in Optimization Theory, 2026, 12, https://cot.mathres.org/archives/2208

Article dans une revue hal-04553370v1
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Stochastic homogenization of nonlocal reaction-diffusion systems of gradient flow type

Omar Anza Hafsa , Jean-Philippe Mandallena , Gérard Michaille , F. Pereira

Journal of Elliptic and Parabolic Equations, In press, ⟨10.1007/s41808-026-00441-z⟩

Article dans une revue hal-05347112v1

Remark on lower semicontinuity of unbounded quasiconvex integrals

Omar Anza Hafsa , Jean-Philippe Mandallena

Bollettino dell'Unione Matematica Italiana, In press, ⟨10.1007/s40574-025-00505-3⟩

Article dans une revue hal-05251738v1
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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-04227857v1
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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-04804292v1
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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-04008187v2
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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-03715859v1
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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-03727996v1
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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-03778791v1
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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-02357210v1
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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-03270938v2
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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-02411552v1
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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-02295632v3
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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-03270923v1

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-03348501v1
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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-02296179v1
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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-02296178v1
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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-02295885v1
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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-01928268v1
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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-02512875v1

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-02387480v1
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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-01928187v1
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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-01662240v1

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-02010017v1

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-01783514v1
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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-01598975v1
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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-01644535v1
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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-01400390v1

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-01400352v1
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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-01302578v1
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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-00958312v1
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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-00959117v1

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-01400348v1

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-01399651v1
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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-00797479v1
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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-00798877v1
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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-00797473v1
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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-00797715v1
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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-00584064v1

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-00584068v1

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-00584066v1

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-00584062v1

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 istex hal-00584067v1

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-01644843v1

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-01645099v1

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-01646612v1

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-01646541v1

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-01645095v1

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-01644831v1