On the regularity of the ω-minima of φ-functionals. (May 2020)

• Record Type: Journal Article
• Authors: De Filippis, Cristiana
• Is Part Of: Nonlinear analysis. Volume 194(2020)
• Publication Date: 2020-05
• Subjects: 35J60 -- 35J70; Regularity -- ω-minima -- φ-functionals -- Orlicz spaces; 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.2019.02.017
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We focus on some regularity properties of ω -minima of variational integrals with φ -growth and provide an upper bound on the Hausdorff dimension of their singular set.