{
  "id": "1001.1787",
  "version": "v1",
  "published": "2010-01-12T03:18:50.000Z",
  "updated": "2010-01-12T03:18:50.000Z",
  "title": "Infinite multiplicity for inhomogeneous supercritical problem in entire space",
  "authors": [
    "Baishun Lai",
    "Zhihao Ge"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we will prove the existence of infinitely many positive solutions to the following supercritical problem by using the Liapunov-Schmidt reduction method and asymptotic analysis: {ll}\\Delta u + u^{p}+f(x)=0, u>0 {in} R^{n}, \\lim_{|x|\\to\\infty}u(x)\\to 0.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-12T03:18:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35B05",
      "35B40"
    ],
    "keywords": [
      "inhomogeneous supercritical problem",
      "infinite multiplicity",
      "entire space",
      "liapunov-schmidt reduction method",
      "asymptotic analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}