{ "id": "1901.02309", "version": "v1", "published": "2019-01-08T13:57:00.000Z", "updated": "2019-01-08T13:57:00.000Z", "title": "Extremal problem of Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds", "authors": [ "Shutao Zhang", "Yazhou Han" ], "categories": [ "math.AP" ], "abstract": "This paper studies the existence of extremal problems for the Hardy-Littlewood-Sobolev inequalities on compact manifolds without boundary via Concentration-Compactness principle.", "revisions": [ { "version": "v1", "updated": "2019-01-08T13:57:00.000Z" } ], "analyses": { "keywords": [ "compact riemannian manifolds", "hardy-littlewood-sobolev inequalities", "extremal problem", "paper studies", "compact manifolds" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }