{
  "id": "1307.2226",
  "version": "v1",
  "published": "2013-07-08T19:58:21.000Z",
  "updated": "2013-07-08T19:58:21.000Z",
  "title": "Symmetry breaking of extremals for the Caffarelli-Kohn-Nirenberg inequalities in a non-Hilbertian setting",
  "authors": [
    "Paolo Caldiroli",
    "Roberta Musina"
  ],
  "comment": "11 pages",
  "doi": "10.1007/s00032-013-0207-1",
  "categories": [
    "math.AP"
  ],
  "abstract": "We provide an explicit necessary condition to have that no extremal for the best constant in the Caffarelli-Kohn-Nirenberg inequality is radially symmetric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-08T19:58:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D10",
      "46E35",
      "58E35"
    ],
    "keywords": [
      "caffarelli-kohn-nirenberg inequality",
      "non-hilbertian setting",
      "symmetry breaking",
      "explicit necessary condition",
      "best constant"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.2226C"
    }
  }
}