Radial extension of Γ-limits

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

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

We continue in this paper our study of the notion of radial uniformly upper semicontinuous functional that we developed in a previous paper (see [AHM14]) in the context of relaxation. We consider here the framework of Γ-convergence. We present general radial extension results with respect to Γ-convergence and give some applications to Γ-convergence and homogenization of integral functionals with constraints.

Keywords: Γ-convergence; Ru-usc; Star-shaped set; Radial extension; Homogenization

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

Omar Anza Hafsa, Jean-Philippe Mandallena. Radial extension of Γ-limits. Bollettino dell'Unione Matematica Italiana, inPress, ⟨10.1007/s40574-023-00356-w⟩. ⟨hal-03727996⟩