On subadditive theorems for group actions and homogenization

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

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

We prove subadditive theorems à la Akcoglu-Krengel on measure spaces with acting groups. Applications to homogenization of nonconvex integrals in Cheeger-Sobolev spaces are also developed.

Mots clés: Subadditive theorem; Amenable group; Homogenization; Cheeger-Sobolev space

Domaines: Mathématiques [math]

Omar Anza Hafsa, Jean-Philippe Mandallena. On subadditive theorems for group actions and homogenization. Bulletin des Sciences Mathématiques, 2020, 158, pp.102821. ⟨10.1016/j.bulsci.2019.102821⟩. ⟨hal-02512875⟩