{
  "id": "math/0411285",
  "version": "v1",
  "published": "2004-11-12T13:43:57.000Z",
  "updated": "2004-11-12T13:43:57.000Z",
  "title": "Nonexistence results for a class of nonlinear elliptic equations involving critical Sobolev exponents",
  "authors": [
    "Cristina Tarsi"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study the problem of bifurcation from the origin of solutions of elliptic Dirichlet problems involving critical Sobolev exponent, defined on a bounded domain $\\Omega$ in $\\mathbb{R} ^N$: we prove that the first critical case are $N=3, 4$ (not only N=3, as just proved by Brezis and Nirenberg), exhibiting two nonexistence results for a class of elliptic problem in these dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-12T13:43:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J65"
    ],
    "keywords": [
      "critical sobolev exponent",
      "nonlinear elliptic equations",
      "nonexistence results",
      "elliptic dirichlet problems",
      "first critical case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11285T"
    }
  }
}