{
  "id": "1212.4647",
  "version": "v2",
  "published": "2012-12-19T13:08:53.000Z",
  "updated": "2013-06-06T12:31:28.000Z",
  "title": "Symmetry results for cooperative elliptic systems in unbounded domains",
  "authors": [
    "Lucio Damascelli",
    "Francesca Gladiali",
    "Filomena Pacella"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove symmetry results for classical solutions of semilinear cooperative elliptic systems in R^N, or in the exterior of a ball. We consider the case of fully coupled systems and nonlinearities which are either convex or have a convex derivative. The solutions are shown to be foliated Schwarz symmetric if a bound on their Morse index holds. As a consequence of the symmetry results we also obtain some nonexistence theorems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-06-06T12:31:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B06",
      "35B50",
      "35J47",
      "35G60"
    ],
    "keywords": [
      "symmetry results",
      "unbounded domains",
      "semilinear cooperative elliptic systems",
      "morse index holds",
      "nonexistence theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.4647D"
    }
  }
}