{
  "id": "1411.4414",
  "version": "v1",
  "published": "2014-11-17T10:11:12.000Z",
  "updated": "2014-11-17T10:11:12.000Z",
  "title": "The role of the mean curvature in a Hardy-Sobolev trace inequality",
  "authors": [
    "Mouhamed Moustapha Fall",
    "Ignace Aristide Minlend",
    "El hadji Abdoulaye Thiam"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The Hardy-Sobolev trace inequality can be obtained via Harmonic extensions on the half-space of the Stein and Weiss weighted Hardy-Littlewood-Sobolev inequality. In this paper we consider a bounded domain and study the influence of the boundary mean curvature in the Hardy-Sobolev trace inequality on the underlying domain. We prove existence of minimizers when the mean curvature is negative at the singular point of the Hardy potential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-17T10:11:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hardy-sobolev trace inequality",
      "boundary mean curvature",
      "weiss weighted hardy-littlewood-sobolev inequality",
      "singular point",
      "hardy potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.4414M"
    }
  }
}