Γ-convergence of nonconvex unbounded integrals in Cheeger-Sobolev spaces

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 the setting of Cheeger-Sobolev spaces when the integrands have not polynomial growth and can take infinite values. Applications to relaxation and homogenization are also developed.

Mots clés: Γ-convergence; Deterministic homogenization; Stochastic homogenization; Nonconvex unbounded integral; Ru-usc; General growth conditions; Metric measure space; Cheeger-Sobolev space; Amenable group

Domaines: Mathématiques [math]

Omar Anza Hafsa, Jean-Philippe Mandallena. Γ-convergence of nonconvex unbounded integrals in Cheeger-Sobolev spaces. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, inPress, ⟨10.2422/2036-2145.202105_030⟩. ⟨hal-02295632v3⟩