$\Gamma$-convergence and stochastic homogenization of integral functionals defined on measures
Omar Anza Hafsa, Jean-Philippe Mandallena, Gérard Michaille · HAL (Le Centre pour la Communication Scientifique Directe) · 2024
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.