Radial symmetry for systems of fractional Laplacian

DOI10.1016/S0252-9602(18)30832-4zbMath1438.35082OpenAlexW2884973879WikidataQ129487932 ScholiaQ129487932MaRDI QIDQ2313159

Congming Li, Zhi-Gang Wu

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30832-4

zbMATH Keywords

Kelvin transformmethod of moving planessystem of fractional Laplacianmaximum principles with singular point

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items (7)

Symmetry of solutions for a class of nonlocal Monge–Ampère equations ⋮ Ground states for fractional Schrödinger equations with electromagnetic fields and critical growth ⋮ A priori bounds and the existence of positive solutions for weighted fractional systems ⋮ Symmetry and monotonicity of positive solutions to systems involving general pseudo-relativistic operators ⋮ Symmetry properties in systems of fractional Laplacian equations ⋮ Monotonicity for fractional Laplacian systems in unbounded Lipschitz domains ⋮ Symmetry and monotonicity of a nonlinear Schrödinger equation involving the fractional Laplacian

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