{
  "id": "1801.01770",
  "version": "v1",
  "published": "2018-01-05T14:41:12.000Z",
  "updated": "2018-01-05T14:41:12.000Z",
  "title": "C^{1,alpha} regularity for p(x)-harmonic thin obstacle problem",
  "authors": [
    "Sun-sig Byun",
    "Ki-ahm Lee",
    "Jehan Oh",
    "Jinwan Park"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study thin obstacle problems involving the energy functional with $p(x)$-growth. We prove higher integrability and H\\\"{o}lder regularity for the gradient of minimizers of the thin obstacle problems under the assumption that the variable exponent $p(x)$ is H\\\"{o}lder continuous.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-05T14:41:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "regularity",
      "study thin obstacle problems",
      "higher integrability",
      "energy functional",
      "minimizers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}