Classification of anti-symmetric solutions to nonlinear fractional Laplace equations

DOI10.1007/s00526-021-02128-wzbMath1480.35402OpenAlexW4200267088WikidataQ114018069 ScholiaQ114018069MaRDI QIDQ2062981

Ran Zhuo, Congming Li

Publication date: 3 January 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-021-02128-w

zbMATH Keywords

Kelvin type transform

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (6)

On a super polyharmonic property of a higher-order fractional Laplacian ⋮ Qualitative properties of solutions for dual fractional nonlinear parabolic equations ⋮ Classification of anti-symmetric solutions to the fractional Lane-Emden system ⋮ Maximum principles for Laplacian and fractional Laplacian with critical integrability ⋮ Uniqueness and some related estimates for Dirichlet problem with fractional Laplacian ⋮ Nonexistence of anti-symmetric solutions for an elliptic system involving fractional Laplacian

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