Gradient estimates for Orlicz double phase problems with variable exponents. (August 2022)

• Record Type: Journal Article
• Authors: Baasandorj, Sumiya; Byun, Sun-Sig; Lee, Ho-Sik
• Is Part Of: Nonlinear analysis. Volume 221(2022)
• Publication Date: 2022-08
• Subjects: primary 35J60 -- secondary 46E30 49N60; Orlicz double phase -- Calderón–Zygmund estimate -- Variable exponent -- Gradient estimates -- Non-standard growth; 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.2022.112891
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Optimal regularity estimates are established for the gradient of solutions to non-uniformly elliptic equations of Orlicz double phase with variable exponents type in divergence form under sharp conditions on such highly nonlinear operators for the Calderón–Zygmund theory.