{
  "id": "1301.4868",
  "version": "v2",
  "published": "2013-01-21T14:03:35.000Z",
  "updated": "2013-07-14T06:46:05.000Z",
  "title": "Uniqueness and nondegeneracy of positive solutions of $\\Ds u+u=u^p$ in $\\R^N$ when $s$ is close to 1",
  "authors": [
    "Mouhamed Moustapha Fall",
    "Enrico Valdinoci"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the equation $\\Ds u+u=u^p$, with $s\\in(0,1)$ in the subcritical range of $p$. We prove that if $s$ is sufficiently close to 1 the equation possesses a unique minimizer, which is nondegenerate.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-14T06:46:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive solutions",
      "uniqueness",
      "nondegeneracy",
      "equation possesses"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.4868M"
    }
  }
}