Symmetry of integral equation systems with Bessel kernel on bounded domains

DOI10.1016/J.NA.2010.09.004zbMath1210.45007OpenAlexW2080769278MaRDI QIDQ608403

Lihe Wang, Dongsheng Li, Xiaotao Huang

Publication date: 25 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.004

zbMATH Keywords

Bessel kernelDirichlet boundary conditionspositive solutionmethod of moving planesHardy-Littlewood-Sobolev inequalitysystems of integral equationssymmetry of domains and solutions

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Integral operators (45P05) Systems of nonlinear integral equations (45G15) Positive solutions of integral equations (45M20)

Related Items (6)

Overdetermined problems for negative power integral equations on bounded domain ⋮ Some symmetry results for integral equations involving Wolff potential on bounded domains ⋮ Radial symmetry results for Bessel potential integral equations in exterior domains and in annular domains ⋮ A semilinear pseudo-parabolic equation with initial data non-rarefied at \(\infty\) ⋮ Partially overdetermined problem in some integral equations ⋮ Symmetry results of positive solutions of integral equations involving Riesz potential in exterior domains and in annular domains

Cites Work

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• A characteristic property of spheres
• Symmetry and related properties via the maximum principle
• Radial symmetry and uniqueness for positive solutions of a Schrödinger type system
• Radial symmetry and monotonicity for an integral equation
• A symmetry problem in potential theory
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Symmetry of integral equations on bounded domains
• Classification of solutions for an integral equation

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