Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Omar Anza Hafsa

Université de Nîmes, Laboratoire MIPA, Site des Carmes, Place Gabriel Péri, 30021 Nîmes, France
and: Laboratoire LMGC, UMR-CNRS 5508, Place Eugène Bataillon, 34095 Montpellier, France

omar.anza-hafsa@unimes.fr

Keywords

  • Gamma-convergence
  • integral representation
  • relaxation
  • homogenization

Suggested citation

O. Anza Hafsa, J.-P. Mandallena. “Γ-Limits of Functionals Determined by their Infima.” Journal of Convex Analysis 23 (2016), No. 1, 103–137. https://doi.org/10.68381/jca23005

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Published by Heldermann Verlag, 2016. Rights now held by Banach Press.