{
  "id": "1704.05327",
  "version": "v1",
  "published": "2017-04-18T13:23:10.000Z",
  "updated": "2017-04-18T13:23:10.000Z",
  "title": "Continuity results with respect to domain perturbation for the fractional $p-$laplacian",
  "authors": [
    "Carla Baroncini",
    "Julian Fernandez Bonder",
    "Juan F. Spedaletti"
  ],
  "comment": "9 pages, submitted",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we give sufficient conditions on the approximating domains in order to obtain the continuity of solutions for the fractional $p-$laplacian. These conditions are given in terms of the fractional capacity of the approximating domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-18T13:23:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B30",
      "35J60"
    ],
    "keywords": [
      "continuity results",
      "domain perturbation",
      "approximating domains",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}