Symmetry and non-existence of positive solutions for fractional p-Laplacian systems. (June 2019)

• Record Type: Journal Article
• Authors: Chen, Yonggang; Liu, Baiyu
• Is Part Of: Nonlinear analysis. Volume 183(2019)
• Page Start: 303
• Page End: 322
• Publication Date: 2019-06
• Subjects: 35R11 -- 35A01 -- 35B06; Fractional p-Laplacian system -- Method of moving planes -- Decay solution -- Radial symmetry -- Non-existence; 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.2019.02.023
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Chen and Li (2018) developed maximum principles for the fractional p-Laplacian, which carry out the direct method of moving planes to the fractional p-Laplacian equation. In this paper, we generalize their method to the system case and obtain a symmetry result for the fractional p-Laplacian system on the whole space. We also consider the system on the upper half space and obtain a non-existence result.