Liouville type theorems for the system of integral equations

DOI10.1016/J.AMC.2010.07.071zbMath1248.45005OpenAlexW2016042661MaRDI QIDQ606822

Jingbo Dou

Publication date: 18 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.07.071

zbMATH Keywords

positive solutionsLiouville type theoremconformal invariancesystem of integral equationsHardy-Littlewood-Sobolev inequalitymoving spheres method

Mathematics Subject Classification ID

Systems of nonlinear integral equations (45G15) Singular nonlinear integral equations (45G05) Positive solutions of integral equations (45M20)

Related Items (6)

Symmetry and regularity of solutions to a system with three-component integral equations ⋮ Liouville type theorems for a system of integral equations on upper half space ⋮ Classification of positive solutions to an integral system with the poly-harmonic extension operator ⋮ Regularity and radial symmetry of positive solutions for a higher order elliptic system ⋮ Classification of positive solutions to a Lane-Emden type integral system with negative exponents ⋮ Liouville theorems for fractional Hénon equation and system on \(\mathbb{R}^n\)

Cites Work

• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• A remark on an integral equation via the method of moving spheres
• Classification of positive solutions for nonlinear differential and integral systems with critical exponents
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• A priori estimates for prescribing scalar curvature equations
• Qualitative properties of solutions for an integral equation
• Remark on some conformally invariant integral equations: the method of moving spheres
• Local asymptotic symmetry of singular solutions to nonlinear elliptic equations
• Uniqueness theorems through the method of moving spheres
• On the integral systems related to Hardy-Littlewood-Sobolev inequality
• A Liouville type theorem for an integral system
• A symmetry problem in potential theory
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Uniqueness of Positive Bound States to Schrödinger Systems with Critical Exponents
• Classification of Solutions for a System of Integral Equations
• Liouville Type Theorems for Positive Solutions of Elliptic System in ℝ^N
• Classification of solutions for an integral equation

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