{
  "id": "2001.11415",
  "version": "v1",
  "published": "2020-01-30T15:49:04.000Z",
  "updated": "2020-01-30T15:49:04.000Z",
  "title": "Second-order asymptotics of the fractional perimeter as $s\\to 1$",
  "authors": [
    "Annalisa Cesaroni",
    "Matteo Novaga"
  ],
  "comment": "14 pp",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this note we provide a second-order asymptotic expansion of the fractional perimeter Per$_s(E)$, as $s\\to 1^-$, in terms of the local perimeter and of a higher order nonlocal functional.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-30T15:49:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q15",
      "35R11",
      "49J45"
    ],
    "keywords": [
      "fractional perimeter",
      "higher order nonlocal functional",
      "second-order asymptotic expansion",
      "local perimeter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}