{
  "id": "1205.0494",
  "version": "v1",
  "published": "2012-05-02T17:23:05.000Z",
  "updated": "2012-05-02T17:23:05.000Z",
  "title": "Fractional Laplacian: Pohozaev identity and nonexistence results",
  "authors": [
    "Xavier Ros-Oton",
    "Joaquim Serra"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this note we present the Pohozaev identity for the fractional Laplacian. As a consequence of this identity, we prove the nonexistence of nontrivial bounded solutions to semilinear problems with supercritical nonlinearities in star-shaped domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-02T17:23:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pohozaev identity",
      "fractional laplacian",
      "nonexistence results",
      "nontrivial bounded solutions",
      "semilinear problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.0494R"
    }
  }
}