{
  "id": "1207.3645",
  "version": "v2",
  "published": "2012-07-16T12:13:23.000Z",
  "updated": "2012-07-18T12:24:34.000Z",
  "title": "The Gel'fand problem for the biharmonic operator",
  "authors": [
    "Louis Dupaigne",
    "Olivier Goubet",
    "Guillaume Warnault",
    "Marius Ghergu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study stable solutions of a fourth order nonlinear elliptic equation, both in entire space and in bounded domains.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-07-18T12:24:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "biharmonic operator",
      "gelfand problem",
      "fourth order nonlinear elliptic equation",
      "entire space",
      "study stable solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00205-013-0613-0",
      "journal": "Archive for Rational Mechanics and Analysis",
      "year": 2013,
      "month": "Jun",
      "volume": 208,
      "number": 3,
      "pages": 725
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013ArRMA.208..725D"
    }
  }
}