Nonexistence of positive solution for an integral equation on a half-space \(\mathbb R_+^n\)

DOI10.3934/cpaa.2013.12.663zbMath1267.45008OpenAlexW2318699286MaRDI QIDQ1951391

Yanqin Fang, Ji Hui Zhang

Publication date: 6 June 2013

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

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.663

zbMATH Keywords

monotonicitynonexistencemoving planes in integral forms

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Singular nonlinear integral equations (45G05)

Related Items (11)

Monotonicity and radial symmetry results for Schrödinger systems with fractional diffusion ⋮ Monotonicity and symmetry of fractional Lane–Emden-type equation in the parabolic domain ⋮ Super poly-harmonic property of solutions for Navier boundary problems on 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 ⋮ Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian ⋮ Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space ⋮ A Liouville type theorem for higher order Hardy-Hénon equation in \(\mathbb R^n\) ⋮ Nonexistence of positive solutions for an integral equation related to the Hardy-Sobolev inequality ⋮ Liouville type theorems for Schrödinger systems ⋮ Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space

This page was built for publication: Nonexistence of positive solution for an integral equation on a half-space \(\mathbb R_+^n\)