Axial symmetry and regularity of solutions to an integral equation in a half-space

From MaRDI portal
Publication:764080

DOI10.2140/pjm.2011.253.455zbMath1239.45005OpenAlexW2150265583MaRDI QIDQ764080

Jiuyi Zhu, Guozhen Lu

Publication date: 13 March 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://msp.berkeley.edu/pjm/2011/253-2/p09.xhtml




Related Items (24)

Liouville theorems for an integral system with Poisson kernel on the upper half spaceMaximum principles for the fractional p-Laplacian and symmetry of solutionsMonotonicity and symmetry of positive solutions to fractional p-Laplacian equationMoving spheres for semilinear spectral fractional Laplacian equations in the half spacePotential characterizations of geodesic balls on hyperbolic spaces: a moving plane approachSuper poly-harmonic property of solutions for Navier boundary problems on a half spaceMonotonicity of solutions for the system with pseudo-relativistic Schrödinger operatorsMaximum principles and monotonicity of solutions for fractional \(p\)-equations in unbounded domainsLiouville type theorems for a system of integral equations on upper half spaceA Hopf type lemma for fractional equationsFractional equations with indefinite nonlinearitiesDirect methods on fractional equationsA direct method of moving planes for the fractional LaplacianHardy-Sobolev type integral systems with Dirichlet boundary conditions in a half spaceLiouville type theorems for PDE and IE systems involving fractional Laplacian on a half spaceMaximum principles for a fully nonlinear fractional order equation and symmetry of solutionsLiouville-type theorems and decay estimates for solutions to higher order elliptic equationsSymmetry and Regularity of Solutions to the Weighted Hardy–Sobolev Type SystemUniform a priori estimates for solutions of higher critical order fractional equationsLiouville-type theorems for integral and PDE systems with critical exponents in a half spaceHardy-Littlewood-Sobolev inequalities with the fractional Poisson kernel and their applications in PDEsHopf's lemmas for parabolic fractional \(p\)-LaplaciansA Liouville theorem for \(\alpha\)-harmonic functions in \(\mathbb{R}^n_+\)Higher order Brezis-Nirenberg problem on hyperbolic spaces: existence, nonexistence and symmetry of solutions




This page was built for publication: Axial symmetry and regularity of solutions to an integral equation in a half-space