Liouville theorems for an integral system with Poisson kernel on the upper half space

DOI10.1007/s11425-016-5136-3zbMath1352.45008OpenAlexW2301846437MaRDI QIDQ310219

Jingbo Dou, Xiang Zhang

Publication date: 8 September 2016

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

Full work available at URL: https://doi.org/10.1007/s11425-016-5136-3

zbMATH Keywords

positive solutionsLiouville theoremPoisson kernelintegral systemmethod of moving spheres

Mathematics Subject Classification ID

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

Related Items (5)

Classification and symmetry of positive solutions for weighted integral system ⋮ Liouville type theorems for general weighted integral system with negative exponents ⋮ Classification of positive solutions for an integral system on the half space ⋮ Classification of positive solutions to an integral system with the poly-harmonic extension operator ⋮ Liouville type theorem for weighted integral system with negative exponents

Cites Work

• Liouville theorem for an integral system on the upper half space
• Symmetry and nonexistence of positive solutions of integral systems with Hardy terms
• Axial symmetry and regularity of solutions to an integral equation in a half-space
• A Liouville-type theorem for an integral equation on a half-space \(\mathbb R_+^n\)
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• An integral system and the Lane-Emden conjecture
• Classification of positive solutions for nonlinear differential and integral systems with critical exponents
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Remark on some conformally invariant integral equations: the method of moving spheres
• Uniqueness theorems through the method of moving spheres
• Liouville type theorems for integral equations and integral systems
• Classification of positive solutions for an elliptic system with a higher-order fractional Laplacian
• On the integral systems related to Hardy-Littlewood-Sobolev inequality
• A New Family of Sharp Conformally Invariant Integral Inequalities
• Classification of Solutions for a System of Integral Equations
• Sharp Hardy–Littlewood–Sobolev Inequality on the Upper Half Space
• Sharp integral inequalities for harmonic functions
• Classification of solutions for an integral equation

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