{
  "id": "1604.08258",
  "version": "v1",
  "published": "2016-04-27T22:02:40.000Z",
  "updated": "2016-04-27T22:02:40.000Z",
  "title": "A Pohozaev Identity for the Fractional H$\\acute{e}$non System",
  "authors": [
    "Pei Ma",
    "Fengquan Li",
    "Yan Li"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study the Pohozaev identity associated with a H$\\acute{e}$non-Lane-Emden system involving the fractional Laplacian: \\begin{equation} \\left\\{\\begin{array}{ll} (-\\triangle)^su=|x|^av^p,&x\\in\\Omega, (-\\triangle)^sv=|x|^bu^q,&x\\in\\Omega, u=v=0,&x\\in R^n\\backslash\\Omega, \\end{array} \\right. \\end{equation} in a star-shaped and bounded domain $\\Omega$ for $s\\in(0,1)$. As an application of our identity, we deduce the nonexistence of positive solutions in the critical and supercritical cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-27T22:02:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pohozaev identity",
      "non system",
      "fractional laplacian",
      "non-lane-emden system",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160408258M"
    }
  }
}