{
  "id": "0911.2576",
  "version": "v3",
  "published": "2009-11-13T09:22:51.000Z",
  "updated": "2010-03-04T08:29:47.000Z",
  "title": "Overdetermined boundary value problems for the $\\infty$-Laplacian",
  "authors": [
    "G. Buttazzo",
    "B. Kawohl"
  ],
  "comment": "9 pages, 1 figure",
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "We consider overdetermined boundary value problems for the $\\infty$-Laplacian in a domain $\\Omega$ of $\\R^n$ and discuss what kind of implications on the geometry of $\\Omega$ the existence of a solution may have. The classical $\\infty$-Laplacian, the normalized or game-theoretic $\\infty$-Laplacian and the limit of the $p$-Laplacian as $p\\to \\infty$ are considered and provide different answers.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-03-04T08:29:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R35",
      "49R05",
      "35J25"
    ],
    "keywords": [
      "overdetermined boundary value problems",
      "implications",
      "game-theoretic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.2576B"
    }
  }
}