{
  "id": "1203.4130",
  "version": "v2",
  "published": "2012-03-19T15:18:10.000Z",
  "updated": "2012-04-23T13:32:01.000Z",
  "title": "Fractional Eigenvalues",
  "authors": [
    "Erik Lindgren",
    "Peter Lindqvist"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a non-local eigenvalue problem related to the fractional Sobolev spaces for large values of p and derive the limit equation as p goes to infinity. Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour. Keywords: eigenvalue, non-local equation, non-linear equation",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-23T13:32:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35P30",
      "35R11"
    ],
    "keywords": [
      "fractional eigenvalues",
      "fractional sobolev spaces",
      "non-local eigenvalue problem",
      "non-local equation",
      "strange behaviour"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.4130L"
    }
  }
}