{
  "id": "1407.6567",
  "version": "v1",
  "published": "2014-07-24T13:21:28.000Z",
  "updated": "2014-07-24T13:21:28.000Z",
  "title": "On the extremals of the Pólya-Szegő inequality",
  "authors": [
    "Almut Burchard",
    "Adele Ferone"
  ],
  "comment": "17 pages, 3 figures",
  "categories": [
    "math.FA"
  ],
  "abstract": "The distance of an extremal of the P\\'olya-Szeg\\H{o} inequality from a translate of its symmetric decreasing rearrangement is controlled by the measure of the set of critical points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-24T13:21:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D15",
      "39B62"
    ],
    "keywords": [
      "inequality",
      "symmetric decreasing rearrangement",
      "critical points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.6567B"
    }
  }
}