Γ-convergence of nonconvex unbounded integrals in strongly connected sets

Omar Anza Hafsa (1) , Jean-Philippe Mandallena (1)

1 MIPA - Mathématiques, Informatique, Physique, et Applications / Université de Nîmes

We study Γ-convergence of nonconvex integrals of the calculus of variations in strongly connected sets when the integrands have not polynomial growth and can take infinite values. Application to homogenization of unbounded integrals in strongly perforated sets is also developed.

Keywords: Γ-convergence; Strong connectedness; Perforated sets; Nonconvex unbounded integrals; Homogenization

Domains: Mathematics [math]; Classical Analysis and ODEs [math.CA]; Analysis of PDEs [math.AP]

Omar Anza Hafsa, Jean-Philippe Mandallena. Γ-convergence of nonconvex unbounded integrals in strongly connected sets. 2022. ⟨hal-03715859⟩