{
  "id": "math/0610770",
  "version": "v1",
  "published": "2006-10-25T22:19:25.000Z",
  "updated": "2006-10-25T22:19:25.000Z",
  "title": "Analytic regularity of a free boundary problem",
  "authors": [
    "Huiqiang Jiang"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "In this paper, we consider a free boundary problem with volume constraint. We show that positive minimizer is locally Lipschitz and the free boundary is analytic away from a singular set with Hausdorff dimension at most $n-8$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-25T22:19:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q20"
    ],
    "keywords": [
      "free boundary problem",
      "analytic regularity",
      "volume constraint",
      "analytic away",
      "singular set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10770J"
    }
  }
}