On the shape of solutions to an integral system related to the weighted Hardy-Littlewood-Sobolev inequality

DOI10.1016/j.jmaa.2011.12.004zbMath1234.26059OpenAlexW1971423316MaRDI QIDQ663724

Michiaki Onodera

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.004

zbMATH Keywords

asymptotic profilesradial symmetrysystems of integral equationsthe weighted Hardy-Littlewood-Sobolev inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (6)

Integrability of positive solutions of the integral system involving the Riesz potentials ⋮ Optimal integrability of some system of integral equations ⋮ Existence of positive solutions for integral systems of the weighted Hardy-Littlewood-Sobolev type ⋮ Quantitative analysis of a system of integral equations with weight on the upper half space ⋮ The reversed Hardy-Littlewood-Sobolev type integral systems with weights ⋮ Some properties of solutions to the weighted Hardy-Littlewood-Sobolev type integral system

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• Sharp integral inequalities for harmonic functions
• Classification of solutions for an integral equation

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