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Nonexistence and symmetry of solutions to some fractional Laplacian equations in the upper half space

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Publication:1752052
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DOI10.1016/S0252-9602(17)30040-1zbMath1399.35001MaRDI QIDQ1752052

Yan-yan Guo

Publication date: 25 May 2018

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


zbMATH Keywords

nonexistencemethod of moving planesradial symmetryfractional Laplacian


Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)


Related Items (6)

Critical system involving fractional Laplacian ⋮ Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent ⋮ Fractional \(p\)-Laplacian problems with negative powers in a ball or an exterior domain ⋮ Symmetry of solutions for a fractional p-Laplacian equation of Choquard type ⋮ Existence and multiplicity of solutions for a class of fractional elliptic systems ⋮ Symmetry and nonexistence results for a fractional Hénon-Hardy system on a half-space







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