A Liouville-type theorem for an integral system on a half-space \(R_+^n\)

DOI10.1186/1029-242X-2013-37zbMath1329.45007WikidataQ59301883 ScholiaQ59301883MaRDI QIDQ395823

Linfen Cao, Zhaohui Dai

Publication date: 30 January 2014

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

zbMATH Keywords

monotonicitymoving planes methodLiouville-type theoremsystems of integral equationsHLS inequality

Mathematics Subject Classification ID

Systems of nonlinear integral equations (45G15) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items

A direct method of moving planes for a fully nonlinear nonlocal system ⋮ Symmetry and nonexistence of solutions for a fully nonlinear nonlocal system ⋮ Solutions of fully nonlinear nonlocal systems ⋮ Symmetry and nonexistence of positive solutions for weighted HLS system of integral equations on a half space ⋮ Liouville-type theorem for some nonlinear systems in a half-space

Cites Work

• A system of integral equations on half space
• Radial symmetry and regularity of solutions for poly-harmonic Dirichlet problems
• A Liouville-type theorem for an integral equation on a half-space \(\mathbb R_+^n\)