{
  "id": "0901.0421",
  "version": "v1",
  "published": "2009-01-05T05:26:40.000Z",
  "updated": "2009-01-05T05:26:40.000Z",
  "title": "Optimal regularity for the Signorini problem",
  "authors": [
    "Nestor Guillen"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove under general assumptions that solutions of the thin obstacle or Signorini problem in any space dimension achieve the optimal regularity $C^{1,1/2}$. This improves the known optimal regularity results by allowing the thin obstacle to be defined in an arbitrary $C^{1,\\beta}$ hypersurface, $\\beta>1/2$, additionally, our proof covers any linear elliptic operator in divergence form with smooth coefficients. The main ingredients of the proof are a version of Almgren's monotonicity formula and the optimal regularity of global solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-05T05:26:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R35",
      "74G40"
    ],
    "keywords": [
      "signorini problem",
      "thin obstacle",
      "space dimension achieve",
      "optimal regularity results",
      "linear elliptic operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.0421G"
    }
  }
}