Liouville theorem for an integral system on the upper half space

DOI10.3934/dcds.2015.35.155zbMath1304.35160OpenAlexW2334299976MaRDI QIDQ479967

Jingbo Dou, Ye Li

Publication date: 8 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.155

zbMATH Keywords

Hardy-Littlewood-Sobolev inequalityintegral systemmethod of moving sphere

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Systems of nonlinear integral equations (45G15) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (9)

Liouville theorems for an integral system with Poisson kernel on the upper half space ⋮ Classification and symmetry of positive solutions for weighted integral system ⋮ Classification of positive solutions for an integral system on the half space ⋮ Monotonicity of solutions for the system with pseudo-relativistic Schrödinger operators ⋮ Liouville type theorems for a system of integral equations on upper half space ⋮ Classification of positive solutions to an integral system with the poly-harmonic extension operator ⋮ Classification of solutions for an integral system with negative exponents on half space ⋮ Quantitative analysis of a system of integral equations with weight on the upper half space ⋮ Liouville type theorem for weighted integral system with negative exponents

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