Γ-compactness of some classes of integral functionals depending on vector fields. (July 2023)

• Record Type: Journal Article
• Authors: Essebei, Fares; Verzellesi, Simone
• Is Part Of: Nonlinear analysis. Volume 232(2023)
• Publication Date: 2023-07
• Subjects: Gamma convergence -- Vector fields -- Anisotropic Sobolev space -- Gamma compactness -- Carnot groups; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2023.113278
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we achieve some Γ -compactness results for suitable classes of integral functionals depending on a given family of Lipschitz vector fields, with respect to both the strong L p − topology and the strong W X 1, p − topology.