{
  "id": "1103.1845",
  "version": "v1",
  "published": "2011-03-09T18:06:40.000Z",
  "updated": "2011-03-09T18:06:40.000Z",
  "title": "Hölder continuity for Trudinger's equation in measure spaces",
  "authors": [
    "Tuomo Kuusi",
    "Rojbin Laleoglu",
    "Juhana Siljander",
    "José Miguel Urbano"
  ],
  "comment": "36 pages",
  "journal": "Calc. Var. Partial Differential Equations, 2011",
  "categories": [
    "math.AP"
  ],
  "abstract": "We complete the study of the regularity for Trudinger's equation by proving that weak solutions are H\\\"older continuous also in the singular case. The setting is that of a measure space with a doubling non-trivial Borel measure supporting a Poincar\\'e inequality. The proof uses the Harnack inequality and intrinsic scaling.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-09T18:06:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "35K67",
      "35D10"
    ],
    "keywords": [
      "measure space",
      "trudingers equation",
      "hölder continuity",
      "doubling non-trivial borel measure supporting",
      "singular case"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.1845K"
    }
  }
}