{
  "id": "1606.04968",
  "version": "v1",
  "published": "2016-06-15T20:25:15.000Z",
  "updated": "2016-06-15T20:25:15.000Z",
  "title": "Symmetry and nonexistence of positive solutions for fractional systems",
  "authors": [
    "Pei Ma",
    "Wenxiong Chen"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is devoted to study the nonexistence results of positive solutions for the following fractional H$\\acute{e}$non system \\begin{eqnarray*}\\left\\{ \\begin{array}{lll} &(-\\triangle)^{\\alpha/2}u=|x|^av^p,~~~&x\\in R^n, &(-\\triangle)^{\\alpha/2}v=|x|^bu^q,~~~ &x\\in R^n, &u\\geq0, v\\geq 0, \\end{array} \\right. \\end{eqnarray*} where $0<\\alpha<2$, $0<p,q<\\infty$, $a$, $b$ $\\geq0$, $n\\geq2$. Using a direct method of moving planes, we prove non-existence of positive solution in the subcritical case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-15T20:25:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive solution",
      "fractional systems",
      "non system",
      "nonexistence results",
      "direct method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}