Journal of Convex Analysis 23 (2016), No. 1, 103--137
Copyright Heldermann Verlag 2016
Γ-Limits of Functionals Determined by their Infima
Omar Anza Hafsa
Université de Nîmes, Laboratoire MIPA, Site des Carmes, Place Gabriel Péri, 30021 Nîmes, France
omar.anza-hafsa@unimes.fr
Jean-Philippe Mandallena
Université de Nîmes, Laboratoire MIPA, Site des Carmes, Place Gabriel Péri, 30021 Nîmes, France
jean-philippe.mandallena@unimes.fr
We study the integral representation of Γ-limits of p-coercive integral functionals of the calculus of variations in the spirit of Dal Maso and Modica (1986). We use infima of local Dirichlet problems to characterize the limit integrands. Applications to homogenization and relaxation are given.
Keywords: Gamma-convergence, integral representation, relaxation, homogenization.
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