{
  "id": "1111.0393",
  "version": "v1",
  "published": "2011-11-02T05:43:00.000Z",
  "updated": "2011-11-02T05:43:00.000Z",
  "title": "Classification of the stable solution to biharmonic problems in large dimensions",
  "authors": [
    "Juncheng Wei",
    "Xingwang Xu",
    "Wen Yang"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We give a new bound on the exponent for the nonexistence of stable solutions to the biharmonic problem $$\\Delta^2u=u^p,\\quad u>0 in \\mathbb{R}^n $$ where $p>1, n \\geq 20$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-02T05:43:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J45"
    ],
    "keywords": [
      "biharmonic problem",
      "stable solution",
      "large dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.0393W"
    }
  }
}