{
  "id": "1611.01343",
  "version": "v1",
  "published": "2016-11-04T11:59:40.000Z",
  "updated": "2016-11-04T11:59:40.000Z",
  "title": "$C^{1,β}$-regularity at the boundary of two dimensional sliding almost minimal sets",
  "authors": [
    "Yangqin Fang"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, we will give a $C^{1,\\beta}$-regularity result on the boundary for two dimensional sliding almost minimal sets. This effect may lead to the existence of a solution to the Plateau problem with sliding boundary conditions proposed by Guy David in [4].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-04T11:59:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal sets",
      "dimensional sliding",
      "regularity result",
      "plateau problem",
      "sliding boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}