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Homogenization of periodic nonconvex integral functionals in terms of Young measures

Omar Anza Hafsa;  Jean-Philippe Mandallena;  Gérard Michaille — 2006

ESAIM: Control, Optimisation and Calculus of Variations

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.

Homogenization of periodic nonconvex integral functionals in terms of Young measures

Omar Anza Hafsa;  Jean-Philippe Mandallena;  Gérard Michaille — 2005

ESAIM: Control, Optimisation and Calculus of Variations

Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the -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.

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