{
  "id": "0709.3531",
  "version": "v2",
  "published": "2007-09-21T20:45:41.000Z",
  "updated": "2007-09-28T02:03:29.000Z",
  "title": "On the Hopf Lemma",
  "authors": [
    "YanYan Li",
    "L. Nirenberg"
  ],
  "comment": "This paper has been withdrawn, since the result had been proved earlier",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "The Hopf Lemma for second order elliptic operators is proved to hold in domains with $C^{1,\\alpha}$, and even less regular, boundaries. It need not hold for $C^1$ boundaries. Corresponding results are proved for second order parabolic operators.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-09-28T02:03:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B50",
      "35J70",
      "35K05",
      "35K20",
      "35J15",
      "35J25"
    ],
    "keywords": [
      "hopf lemma",
      "second order elliptic operators",
      "second order parabolic operators",
      "boundaries",
      "corresponding results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.3531L"
    }
  }
}