{
  "id": "0903.3975",
  "version": "v7",
  "published": "2009-03-24T12:25:07.000Z",
  "updated": "2010-02-18T17:08:44.000Z",
  "title": "Generalized Polya-Szego inequality and applications to some quasi-linear elliptic problems",
  "authors": [
    "Hichem Hajaiej",
    "Marco Squassina"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We generalize Polya-Szego inequality to integrands depending on $u$ and its gradient. Under minimal additional assumptions, we establish equality cases in this generalized inequality. We also give relevant applications of our study to a class of quasi-linear elliptic equations and systems.",
  "revisions": [
    {
      "version": "v7",
      "updated": "2010-02-18T17:08:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "26B25",
      "26B99"
    ],
    "keywords": [
      "quasi-linear elliptic problems",
      "generalized polya-szego inequality",
      "quasi-linear elliptic equations",
      "minimal additional assumptions",
      "relevant applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.3975H"
    }
  }
}