Radial symmetry for positive solutions of fractional p-Laplacian equations via constrained minimization method

作者:

Highlights:

摘要

The aim of this paper is to investigate a class of fractional p-Laplacian equations. We obtain existence and symmetry results for solutions in the fractional Sobolev space Ws,p(Rn) by rearrangement of its corresponding constrained minimization. Our results are in accordance with those for the classical p-Laplacian equations and fractional Schrödinger equations.

论文关键词:Fractional p-Laplacian equations,Schrödinger type equations,Constrained minimization,Rearrangement

论文评审过程:Received 29 December 2017, Revised 11 May 2018, Accepted 13 May 2018, Available online 30 May 2018, Version of Record 30 May 2018.

论文官网地址:https://doi.org/10.1016/j.amc.2018.05.028