Symmetry and monotonicity for a system of integral equations

DOI10.3934/cpaa.2009.8.1925zbMath1185.45011OpenAlexW2066805279MaRDI QIDQ1035041

Shuangli Qiao, Changlu Liu

Publication date: 9 November 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.1925

zbMATH Keywords

positive solutionsradial symmetrymoving planessystems of integral equationsintegral formsHardy-Littlewood-Sobolev inequalities

Mathematics Subject Classification ID

Systems of nonlinear integral equations (45G15) Positive solutions of integral equations (45M20)

Related Items (12)

Classification of solutions to higher fractional order systems ⋮ Wolff-type integral system including m equations ⋮ A Liouville type theorem for poly-harmonic Dirichlet problems in a half space ⋮ Regularity of solutions for an integral system of Wolff type ⋮ Regularity and symmetry for solutions to a system of weighted integral equations ⋮ Radial symmetry and regularity of solutions for poly-harmonic Dirichlet problems ⋮ Liouville type theorems for Schrödinger system with Navier boundary conditions in a half space ⋮ Symmetry for an integral system with general nonlinearity ⋮ On the existence for an integral system including \(m\) equations ⋮ A system of integral equations on half space ⋮ An integral equation involving Bessel potentials on half space ⋮ Symmetry of solutions to semilinear equations involving the fractional Laplacian

This page was built for publication: Symmetry and monotonicity for a system of integral equations