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, 2018, vol. 337, issue C, 54-62

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.

Keywords: Fractional p-Laplacian equations; Schrödinger type equations; Constrained minimization; Rearrangement (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:337:y:2018:i:c:p:54-62

DOI: 10.1016/j.amc.2018.05.028

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