Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth. (May 2020)

• Record Type: Journal Article
• Authors: Celada, Pietro; Ok, Jihoon
• Is Part Of: Nonlinear analysis. Volume 194(2020)
• Publication Date: 2020-05
• Subjects: primary: 35J47 secondary: 49N60; Partial regularity -- Quasi-convex functional -- Non-autonomous functional; 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.2019.02.026
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study partial C 1, α – regularity of minimizers of quasi-convex variational integrals with non-standard growth. We assume in particular that the relevant integrands satisfy an Orlicz's type growth condition, i.e. a so-called general growth condition. Moreover, the functionals are supposed to be non-autonomous and possibly degenerate.