Renormalized solutions for the fractional p(x)-Laplacian equation with L1 data. (January 2020)

• Record Type: Journal Article
• Authors: Zhang, Chao; Zhang, Xia
• Is Part Of: Nonlinear analysis. Volume 190(2020)
• Publication Date: 2020-01
• Subjects: primary 35D05 -- secondary 35D10 46E35; Variable exponent Sobolev fractional space -- Fractional p(x)-Laplacian -- Renormalized solutions; 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.2019.111610
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider the fractional p ( x ) -Laplacian problem with L 1 data. Based on the approximation and energy methods, we prove the existence and uniqueness of nonnegative renormalized solutions for such problems.