{
  "id": "1012.0450",
  "version": "v1",
  "published": "2010-12-02T15:19:35.000Z",
  "updated": "2010-12-02T15:19:35.000Z",
  "title": "Isoperimetric problems in sectors with density",
  "authors": [
    "Alexander Díaz",
    "Nate Harman",
    "Sean Howe",
    "David Thompson"
  ],
  "comment": "29 pages",
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "abstract": "We consider the isoperimetric problem in planar sectors with density $r^{p}$, and with density $a>1$ inside the unit disk and $1$ outside. We characterize solutions as a function of sector angle. We also solve the isoperimetric problem in $\\mathbb{R}^{n}$ with density $r^{p},\\; p<0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-02T15:19:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "isoperimetric problem",
      "planar sectors",
      "unit disk",
      "sector angle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.0450D"
    }
  }
}