{
  "id": "1711.09835",
  "version": "v1",
  "published": "2017-11-27T17:11:21.000Z",
  "updated": "2017-11-27T17:11:21.000Z",
  "title": "Higher Hölder regularity for the fractional $p-$Laplacian in the superquadratic case",
  "authors": [
    "Lorenzo Brasco",
    "Erik Lindgren",
    "Armin Schikorra"
  ],
  "comment": "44 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove higher H\\\"older regularity for solutions of equations involving the fractional $p-$Laplacian of order $s$, when $p\\ge 2$ and $0<s<1$. In particular, we provide an explicit H\\\"older exponent for solutions of the non-homogeneous equation with data in $L^q$ and $q>N/(s\\,p)$, which is almost sharp whenever $s\\,p\\leq (p-1)+N/q$. The result is new already for the homogeneous equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-27T17:11:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "35J70",
      "35R09"
    ],
    "keywords": [
      "higher hölder regularity",
      "superquadratic case",
      "fractional",
      "non-homogeneous equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}