{
  "id": "1311.3334",
  "version": "v1",
  "published": "2013-11-13T22:59:39.000Z",
  "updated": "2013-11-13T22:59:39.000Z",
  "title": "On the growth of solutions to the minimal surface equation over domains containing a halfplane",
  "authors": [
    "Erik Lundberg",
    "Allen Weitsman"
  ],
  "comment": "11 pages, one figure",
  "categories": [
    "math.AP",
    "math.CV",
    "math.DG"
  ],
  "abstract": "We consider minimal graphs u(x,y)>0 over unbounded domains D (with u vanishing on the boundary of D). Assuming D contains a sector properly containing a halfplane, we obtain estimates on growth and provide examples illustrating a range of growth.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-13T22:59:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q05"
    ],
    "keywords": [
      "minimal surface equation",
      "domains containing",
      "minimal graphs",
      "unbounded domains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.3334L"
    }
  }
}