{
  "id": "1504.01006",
  "version": "v1",
  "published": "2015-04-04T10:59:10.000Z",
  "updated": "2015-04-04T10:59:10.000Z",
  "title": "A note on global regularity for the weak solutions of fractional p-Laplacian equations",
  "authors": [
    "Antonio Iannizzotto",
    "Sunra Mosconi",
    "Marco Squassina"
  ],
  "comment": "7 pages, Conferenza tenuta al XXV Convegno Nazionale di Calcolo delle Variazioni, Levico 2--6 febbraio 2015",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a boundary value problem driven by the fractional p-Laplacian operator with a bounded reaction term. By means of barrier arguments, we prove H\\\"older regularity up to the boundary for the weak solutions, both in the singular (1<p<2) and the degenerate (p>2) case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-04T10:59:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35D10",
      "35R11",
      "47G20"
    ],
    "keywords": [
      "fractional p-laplacian equations",
      "weak solutions",
      "global regularity",
      "boundary value problem driven",
      "fractional p-laplacian operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150401006I"
    }
  }
}