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

DOI10.1016/j.jmaa.2020.124750zbMath1470.46062arXiv1901.02309OpenAlexW2908731836WikidataQ115345899 ScholiaQ115345899MaRDI QIDQ1995897

Shu Tao Zhang, Ya Zhou Han

Publication date: 25 February 2021

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

Full work available at URL: https://arxiv.org/abs/1901.02309

zbMATH Keywords

compact Riemannian manifoldconcentration-compactness principleHardy-Littlewood-Sobolev inequalitiesexistence of extremals

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Rearrangement Free Method for Hardy-Littlewood-Sobolev Inequalities on $\mathbb{S}^n$

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