A system of integral equations on half space

DOI10.1016/j.jmaa.2011.02.060zbMath1220.45005OpenAlexW1981867246MaRDI QIDQ541264

Ran Zhuo, Dongyan Li

Publication date: 6 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.060

zbMATH Keywords

positive solutionsrotational symmetrymethod of moving planessmooth solutionbounded solutioncontinuous solutionregularity of solutionsfractional Laplaciansystem of nonlinear integral equationsupper half space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Systems of nonlinear integral equations (45G15) Singular nonlinear integral equations (45G05) Fractional partial differential equations (35R11) Axially symmetric solutions to PDEs (35B07)

Related Items (11)

A Liouville-type theorem for an integral system on a half-space \(R_+^n\) ⋮ Regularity and symmetry for solutions to a system of weighted integral equations ⋮ Liouville type theorems for Schrödinger system with Navier boundary conditions in a half space ⋮ Symmetry and nonexistence of positive solutions for weighted HLS system of integral equations on a half space ⋮ Symmetry and nonexistence of positive solutions of integral systems with Hardy terms ⋮ Regularity criteria for the 3D dissipative system modeling electro-hydrodynamics in Besov spaces ⋮ Nonexistence of positive solutions for an integral equation related to the Hardy-Sobolev inequality ⋮ Liouville type theorems for Schrödinger systems ⋮ Non-existence results for cooperative semi-linear fractional system via direct method of moving spheres ⋮ Symmetry of positive solutions for equations involving higher order fractional Laplacian ⋮ Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space

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