{
  "id": "1502.02097",
  "version": "v1",
  "published": "2015-02-07T05:33:17.000Z",
  "updated": "2015-02-07T05:33:17.000Z",
  "title": "Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds and applications",
  "authors": [
    "Yazhou Han",
    "Meijun Zhu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we extend Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds for dimension $n\\ne 2$. As one application, we solve a generalized Yamabe problem on locally conforamlly flat manifolds via a new designed energy functional and a new variational approach. Even for the classic Yamabe problem on locally conformally flat manifolds, our approach provides a new and relatively simpler solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-07T05:33:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J87"
    ],
    "keywords": [
      "compact riemannian manifolds",
      "application",
      "classic yamabe problem",
      "extend hardy-littlewood-sobolev inequalities",
      "locally conformally flat manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}