Symmetry and monotonicity of positive solutions for an integral system with negative exponents

DOI10.2140/PJM.2019.300.419zbMath1446.45005OpenAlexW2969203746WikidataQ127405673 ScholiaQ127405673MaRDI QIDQ2305148

Yanyan Li

Publication date: 10 March 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2019.300.419

zbMATH Keywords

Hardy-Littlewood-Sobolev inequalitynegative exponentmethod of moving plane

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Systems of nonlinear integral equations (45G15) Positive solutions of integral equations (45M20)

Related Items (9)

Classification of nonnegative solutions to static Schrödinger-Hartree-Maxwell system involving the fractional Laplacian ⋮ On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents ⋮ Classification of nonnegative solutions to fractional Schrödinger-Hatree-Maxwell type system ⋮ Monotonicity and symmetry of positive solutions to fractional p-Laplacian equation ⋮ Hardy–Littlewood–Sobolev inequality and existence of the extremal functions with extended kernel ⋮ Overdetermined problems for negative power integral equations on bounded domain ⋮ Sharp reversed Hardy–Littlewood–Sobolev inequality with extension kernel ⋮ Classification of positive solutions for an integral system on the half space ⋮ Classification of solutions for an integral system with negative exponents on half space

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