{
  "id": "1910.06307",
  "version": "v1",
  "published": "2019-10-14T17:43:42.000Z",
  "updated": "2019-10-14T17:43:42.000Z",
  "title": "The $\\varepsilon-\\varepsilon^β$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets",
  "authors": [
    "Aldo Pratelli",
    "Giorgio Saracco"
  ],
  "comment": "19 pages, 1 figure",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the validity of the $\\varepsilon-\\varepsilon^\\beta$ property in the isoperimetric problem with double density, generalising the known properties for the case of single density. As a consequence, we derive regularity for isoperimetric sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-14T17:43:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "isoperimetric sets",
      "isoperimetric problem",
      "double density",
      "single density"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}