Homogenization of nonlinear integrals via the periodic unfolding method

Doina Cioranescu; Alain Damlamian; Riccardo De Arcangelis

doi:10.1016/j.crma.2004.03.028

Calculus of Variations

Homogenization of nonlinear integrals via the periodic unfolding method

Presented by: Philippe G. Ciarlet

Doina Cioranescu ¹; Alain Damlamian ²; Riccardo De Arcangelis ³

¹ Université Pierre et Marie Curie (Paris VI), laboratoire J.-L. Lions CNRS UMR 7598, 175, rue du Chevaleret, 75013 Paris, France
² Université Paris XII Val de Marne, laboratoire d'analyse et de mathématiques appliquées, CNRS UMR 8050, 94010 Créteil cedex, France
³ Università di Napoli “Federico II”, Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Via Cintia, Complesso Monte S. Angelo, 80126 Napoli, Italy

Comptes Rendus. Mathématique, Volume 339 (2004) no. 1, pp. 77-82.

Abstract
Résumé

We consider the periodic homogenization of nonlinear integral energies with polynomial growth. The study is carried out by the periodic unfolding method which reduces the homogenization process to a weak convergence problem in a Lebesgue space.

Cette Note présente un résultat d'homogénéisation périodique pour des énergies intégrales à croissance polynômiale. On utilise la méthode d'éclatement périodique qui réduit la démonstration à de la convergence faible dans un espace de Lebesgue.

Received: 2004-03-03
Accepted: 2004-03-11
Published online: 2004-05-25

DOI: 10.1016/j.crma.2004.03.028

Author's affiliations:

Doina Cioranescu ¹; Alain Damlamian ²; Riccardo De Arcangelis ³

¹ Université Pierre et Marie Curie (Paris VI), laboratoire J.-L. Lions CNRS UMR 7598, 175, rue du Chevaleret, 75013 Paris, France
² Université Paris XII Val de Marne, laboratoire d'analyse et de mathématiques appliquées, CNRS UMR 8050, 94010 Créteil cedex, France
³ Università di Napoli “Federico II”, Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Via Cintia, Complesso Monte S. Angelo, 80126 Napoli, Italy

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     author = {Doina Cioranescu and Alain Damlamian and Riccardo De~Arcangelis},
     title = {Homogenization of nonlinear integrals via the periodic unfolding method},
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Doina Cioranescu; Alain Damlamian; Riccardo De Arcangelis. Homogenization of nonlinear integrals via the periodic unfolding method. Comptes Rendus. Mathématique, Volume 339 (2004) no. 1, pp. 77-82. doi : 10.1016/j.crma.2004.03.028. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.03.028/

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