{
  "id": "1202.1013",
  "version": "v2",
  "published": "2012-02-05T22:26:39.000Z",
  "updated": "2012-05-20T11:31:13.000Z",
  "title": "Non-radial solutions of the problem $-Δu = |u|^{4/(n-2)}u$ in $R^n$, $n\\geq3$",
  "authors": [
    "Nikos Labropoulos"
  ],
  "comment": "This paper has been withdrawn by the author due to a significant omission in the main theorem",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove the existence of an infinite sequence of distinct non-radial nodal $G-$invariant solutions for the following critical nonlinear elliptic problem: $({\\mathrm{P}})\\quad {*{20}c} {-\\Delta u = |u|^{4/(n-2)}u},\\quad u\\in C^2(\\mathbb{R}^n), \\quad n\\geq3}$",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-05-20T11:31:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-radial solutions",
      "critical nonlinear elliptic problem",
      "distinct non-radial nodal",
      "infinite sequence",
      "invariant solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.1013L"
    }
  }
}