{
  "id": "1504.03861",
  "version": "v1",
  "published": "2015-04-15T11:19:06.000Z",
  "updated": "2015-04-15T11:19:06.000Z",
  "title": "Hölder regularity at the boundary of two-dimensional sliding almost minimal sets",
  "authors": [
    "Yangqin Fang"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In [15], Jean Taylor has proved a regularity theorem away from boundary for Almgren almost minimal sets of dimension two in $\\mathbb{R}^{3}$. It is quite important for understanding the soap films and the solutions of Plateau's problem away from boundary. In this paper, we will give a regularity result on the boundary for two dimensional sliding almost minimal sets in $\\mathbb{R}^{3}$. It will be of use for understanding their boundary behavior.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-15T11:19:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal sets",
      "hölder regularity",
      "two-dimensional sliding",
      "regularity theorem away",
      "plateaus problem away"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150403861F"
    }
  }
}