{
  "id": "1101.0418",
  "version": "v1",
  "published": "2011-01-02T17:32:40.000Z",
  "updated": "2011-01-02T17:32:40.000Z",
  "title": "Removable Sets for Hölder Continuous p(x)-Harmonic Functions",
  "authors": [
    "A. Lyaghfouri"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish that a closed set $E$ is removable for $C^{0,\\alpha}$ H\\\"{o}lder continuous $p(x)$-harmonic functions in a bounded open domain $\\Omega$ of $\\mathbb{R}^n$, $n\\geq 2$, provided that for each compact subset $K$ of $E$, the $(n-p_K+\\alpha(p_K-1))$-Hausdorff measure of $K$ is zero, where $p_K=\\max_{x\\in K} p(x)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-02T17:32:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35J70"
    ],
    "keywords": [
      "removable sets",
      "hölder continuous",
      "bounded open domain",
      "compact subset",
      "harmonic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.0418L"
    }
  }
}