{
  "id": "2006.08244",
  "version": "v1",
  "published": "2020-06-15T09:33:20.000Z",
  "updated": "2020-06-15T09:33:20.000Z",
  "title": "Hölder continuity of the minimizer of an obstacle problem with generalized Orlicz growth",
  "authors": [
    "Arttu Karppinen",
    "Mikyoung Lee"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove local $C^{0,\\alpha}$- and $C^{1,\\alpha}$-regularity for the local solution to an obstacle problem with non-standard growth. These results cover as special cases standard, variable exponent, double phase and Orlicz growth.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-15T09:33:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "49N60",
      "35A15",
      "46E35"
    ],
    "keywords": [
      "generalized orlicz growth",
      "obstacle problem",
      "hölder continuity",
      "special cases standard",
      "local solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}