Existence of positive solutions to negative power nonlinear integral equations with weights

DOI10.1186/s13661-020-01380-xzbMath1487.45004OpenAlexW3032000682MaRDI QIDQ2126601

Yanyan Li

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-020-01380-x

zbMATH Keywords

integral equationpositive solutionreversed sharp Hardy-Littlewood-Sobolev inequality

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Singular nonlinear integral equations (45G05) Positive solutions of integral equations (45M20)

Related Items

Existence of solutions for a weighted integral equation with negative power, Negative power nonlinear integral equations on bounded domains

Cites Work

• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Blowup analysis for integral equations on bounded domains
• Negative power nonlinear integral equations on bounded domains
• Existence of positive solutions to integral equations with weights
• Functionals for multilinear fractional embedding
• Reversed Hardy–Littewood–Sobolev Inequality