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

Liuliu Xie, Xiaotao Huang and Lihe Wang
Applied mathematics and computation, Vol.337, pp.54-62
11/15/2018
DOI: 10.1016/j.amc.2018.05.028

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Abstract

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.
Constrained minimization Fractional p-Laplacian equations Rearrangement Schrödinger type equations

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