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Radial symmetry of solution for fractional p−Laplacian system
Journal article   Peer reviewed

Radial symmetry of solution for fractional p−Laplacian system

Lihong Zhang, Bashir Ahmad, Guotao Wang and Xueyan Ren
Nonlinear analysis, Vol.196, p.111801
07/2020
DOI: https://doi.org/10.1016/j.na.2020.111801

Abstract

Boundary estimate Decay at infinity Fractional [formula omitted]Laplacian system Maximum principle for anti-symmetric function Radial symmetry and monotonicity
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.

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