Symmetry and nonexistence of positive solutions to an integral system with weighted functions

DOI10.1007/s11425-011-4177-xzbMath1222.45003OpenAlexW2095581407MaRDI QIDQ547400

Jingbo Dou, Ya Zhou Han, Chang-Zheng Qu

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4177-x

zbMATH Keywords

symmetryregularityinequalitiessystem of integral equationsnonexistence of positive solutionsHardy-Littlewood-Sobolevpositive regular solution

Mathematics Subject Classification ID

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

Related Items (8)

Symmetry of positive solutions of fractional Laplacian equation and system with Hardy-Sobolev exponent on the unit ball ⋮ 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 ⋮ Liouville theorem for an integral system on the upper half space ⋮ Liouville type theorems for general integral system with negative exponents ⋮ Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space ⋮ Qualitative properties and classification of solutions to elliptic equations with Stein-Weiss type convolution part ⋮ Liouville theorems for fractional Hénon equation and system on \(\mathbb{R}^n\)

Cites Work

• Unnamed Item
• Fractional integration associated with second order divergence operators on \(\mathbb{R}^{n}\)
• An integral system and the Lane-Emden conjecture
• A Liouville type theorem for polyharmonic elliptic systems
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Qualitative properties of solutions for an integral equation
• Remark on some conformally invariant integral equations: the method of moving spheres
• Regularity of solutions for a system of integral equations
• Uniqueness theorems through the method of moving spheres
• On the integral systems related to Hardy-Littlewood-Sobolev inequality
• Liouville-type theorems for polyharmonic systems in \(\mathbb R^N\)
• A symmetry problem in potential theory
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Classification of Solutions for a System of Integral Equations
• Classification of solutions for an integral equation

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