Extremal problem of Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds

Abstract

This paper studies the existence of extremal problems for the Hardy-Littlewood-Sobolev inequalities on compact manifolds without boundary via Concentration-Compactness principle.

References in corpus (5)

• On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions
• On a fractional Nirenberg problem, part II: existence of solutions
• Sharp reversed Hardy-Littlewood-Sobolev inequality on ${\mathbb{R}}^n$
• Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds and applications
• Negative Power Nonlinear Integral Equations on Bounded Domains