Radial symmetry of solution for fractional p−Laplacian system. (July 2020)

• Record Type: Journal Article
• Authors: Zhang, Lihong; Ahmad, Bashir; Wang, Guotao; Ren, Xueyan
• Is Part Of: Nonlinear analysis. Volume 196(2020)
• Publication Date: 2020-07
• Subjects: 35A16 -- 35R11; Maximum principle for anti-symmetric function -- Decay at infinity -- Boundary estimate -- Radial symmetry and monotonicity -- Fractional p−Laplacian system; 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.2020.111801
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we investigate the method of moving planes for fractional p -Laplacian system. We firstly discuss the key ingredients for the method of moving planes such as maximum principle for anti-symmetric functions, decay at infinity and boundary estimate . Then we apply the method of moving planes to establish the radial symmetry and the monotonicity of the positive solutions for fractional p − Laplacian system in a unit ball or in the whole space.