A singularity analysis of positive solutions to an Euler-Lagrange integral system

DOI10.1216/RMJ-2011-41-2-387zbMath1220.45004OpenAlexW2027020451MaRDI QIDQ533517

Yutian Lei, Congming Li, Jerrold W. Bebernes

Publication date: 3 May 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2011-41-2-387

zbMATH Keywords

positive solutionsintegral equationsasymptotic analysisweighted Hardy-Littlewood-Sobolev inequalitysystem of Euler-Lagrange equations

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Systems of nonlinear integral equations (45G15) Inequalities involving derivatives and differential and integral operators (26D10) Singular nonlinear integral equations (45G05) Positive solutions of integral equations (45M20)

Related Items

Stein-Weiss type inequality on the upper half space and its applications ⋮ Leggett-Williams type theorems with applications to nonlinear differential and integral equations ⋮ Optimal integrability of some system of integral equations ⋮ Existence of positive solutions for integral systems of the weighted Hardy-Littlewood-Sobolev type ⋮ The reversed Hardy-Littlewood-Sobolev type integral systems with weights

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