{
  "id": "2001.04299",
  "version": "v1",
  "published": "2020-01-13T14:40:36.000Z",
  "updated": "2020-01-13T14:40:36.000Z",
  "title": "Study of the existence of supersolutions for nonlocal equations with gradient terms",
  "authors": [
    "Begoña Barrios",
    "Leandro M. Del Pezzo"
  ],
  "comment": "22 pages, 6 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the existence of positive supersolutions of nonlocal equations $(-\\Delta)^s u+ |\\nabla u|^q=\\lambda f(u)$ in exterior domains where the datum $f$ can be comparade with $u^{p}$ near the origin. We prove that the existence or bounded supersolutions its depend of the values of $p$, $q$ and $s$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-13T14:40:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlocal equations",
      "gradient terms",
      "exterior domains",
      "bounded supersolutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}