{
  "id": "0911.0948",
  "version": "v1",
  "published": "2009-11-04T22:42:29.000Z",
  "updated": "2009-11-04T22:42:29.000Z",
  "title": "On the best constant of Hardy-Sobolev Inequalities",
  "authors": [
    "Adimurthi",
    "Stathis Filippas",
    "Achilles Tertikas"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We obtain the sharp constant for the Hardy-Sobolev inequality involving the distance to the origin. This inequality is equivalent to a limiting Caffarelli-Kohn-Nirenberg inequality. In three dimensions, in certain cases the sharp constant coincides with the best Sobolev constant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-04T22:42:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hardy-sobolev inequality",
      "best constant",
      "best sobolev constant",
      "sharp constant coincides",
      "limiting caffarelli-kohn-nirenberg inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.0948A"
    }
  }
}