{
  "id": "1604.07755",
  "version": "v1",
  "published": "2016-04-26T17:04:12.000Z",
  "updated": "2016-04-26T17:04:12.000Z",
  "title": "On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results",
  "authors": [
    "Nicola Soave",
    "Serena Dipierro",
    "Enrico Valdinoci"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a nonlocal equation set in an unbounded domain with the epigraph property. We prove symmetry, monotonicity and rigidity results. In particular, we deal with halfspaces, coercive epigraphs and epigraphs that are flat at infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-26T17:04:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional elliptic equations",
      "rigidity results",
      "lipschitz sets",
      "monotonicity",
      "regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}