Classification of positive solutions to a system of Hardy-Sobolev type equations

DOI10.1016/S0252-9602(17)30082-6zbMath1399.35190OpenAlexW2744346713MaRDI QIDQ1752100

Xianqiang Yang

Publication date: 25 May 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30082-6

zbMATH Keywords

nonexistencemethod of moving planesradial symmetrysystems of integral equationsHardy-Sobolev type systemssystems of fractional Laplacian

Mathematics Subject Classification ID

Systems of nonlinear integral equations (45G15) Positive solutions of integral equations (45M20) Positive solutions to PDEs (35B09) Higher-order elliptic systems (35J48)

Related Items (10)

Monotonicity and symmetry of positive solutions to fractional p-Laplacian equation ⋮ Hardy–Littlewood–Sobolev inequality and existence of the extremal functions with extended kernel ⋮ Sharp reversed Hardy–Littlewood–Sobolev inequality with extension kernel ⋮ Classification of nonnegative classical solutions to third-order equations ⋮ Regularity and classification of solutions to static Hartree equations involving fractional Laplacians ⋮ Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes ⋮ Liouville type theorems involving fractional order systems ⋮ Liouville type theorems for fractional and higher-order fractional systems ⋮ Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell Equations with combined nonlinearities ⋮ Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians

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