Regularity for double phase problems under additional integrability assumptions. (May 2020)

• Record Type: Journal Article
• Authors: Ok, Jihoon
• Is Part Of: Nonlinear analysis. Volume 194(2020)
• Publication Date: 2020-05
• Subjects: primary 49N60 -- secondary 35J70 35D30; Double phase problem -- Minimizer -- Regularity; 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.2018.12.019
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study the regularity of quasi-minimizers or minimizers of functionals of double phase type. In recent years, Baroni, Colombo and Mingione have investigated regularity theory for bounded minimizers in Baroni et al. (2015, 2018); Colombo and Mingione (2015) . In this paper, we assume the minimizers only belong to L γ -space.