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Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2006

Homogenization of periodic nonconvex integral functionnals in terms of young measures

Résumé

Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the Γ-limit of sequences of such functionals in the set of Young measures, extending the relaxation theorem of Kinderlherer and Pedregal. We also make precise the relationship between our homogenized density and the classical one.

Dates et versions

hal-00584062 , version 1 (07-04-2011)

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Omar Anza Hafsa, J.P. Mandallena, Gérard Michaille. Homogenization of periodic nonconvex integral functionnals in terms of young measures. ESAIM: Control, Optimisation and Calculus of Variations, 2006, 12, pp.35-51. ⟨10.1051/cocv:2005031⟩. ⟨hal-00584062⟩
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