{
  "id": "1302.6374",
  "version": "v4",
  "published": "2013-02-26T09:53:15.000Z",
  "updated": "2014-05-20T13:43:05.000Z",
  "title": "On strongly indefinite systems involving the fractional Laplacian",
  "authors": [
    "Woocheol Choi"
  ],
  "comment": "23 pages. The previous version had been written for the square root of Laplacian. We revised it with generalizsing the results for $(-Delta)_s$, $0<s<1$ in this version",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study strongly indefinite systems involving the fractional Laplacian on bounded domains. We obtain existence and non-existence results, $a priori$ estimates of Gidas-Spruck type, and the symmetric property.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-05-20T13:43:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional laplacian",
      "study strongly indefinite systems",
      "non-existence results",
      "gidas-spruck type",
      "symmetric property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.6374C"
    }
  }
}