{
  "id": "1206.3926",
  "version": "v1",
  "published": "2012-06-18T13:35:40.000Z",
  "updated": "2012-06-18T13:35:40.000Z",
  "title": "Symmetry results for cooperative elliptic systems via linearization",
  "authors": [
    "Lucio Damascelli",
    "Filomena Pacella"
  ],
  "journal": "SIAM J. Math. Anal. 45 (2013), no. 3, 1003-1026",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove symmetry results for classical solutions of nonlinear cooperative elliptic systems in a ball or in annulus in $\\RN$, $N \\geq 2 $. More precisely we prove that solutions having Morse index $j \\leq N $ are foliated Schwarz symmetric if the nonlinearity is convex and a full coupling condition is satisfied along the solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-18T13:35:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetry results",
      "linearization",
      "nonlinear cooperative elliptic systems",
      "morse index",
      "foliated schwarz symmetric"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.3926D"
    }
  }
}