$\Gamma$-convergence and stochastic homogenization of integral functionals defined on measures
Résumé
We study the $\Gamma$-convergence of nonconvex integral functionals on vector measures, investigating both $\Gamma$-convergence and stochastic homogenization. By setting abstract conditions on the behavior of adapted minimization problems associated with these functionals, we establish an integral representation of the $\Gamma$-limit. This representation is then used to prove stochastic homogenization theorems, resulting in new homogenization formulas.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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