{
  "id": "1805.02518",
  "version": "v1",
  "published": "2018-05-04T15:49:36.000Z",
  "updated": "2018-05-04T15:49:36.000Z",
  "title": "The isoperimetric problem for a class of non-radial weights and applications",
  "authors": [
    "Angelo Alvino",
    "Friedemann Brock",
    "Francesco Chiacchio",
    "Anna Mercaldo",
    "Maria Rosaria Posteraro"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1606.02195",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a class of isoperimetric problems on $\\mathbb{R}^{N}_{+} $ where the densities of the weighted volume and weighted perimeter are given by two different non-radial functions of the type $|x|^k x_N^\\alpha$. Our results imply some sharp functional inequalities, like for instance, Caffarelli-Kohn-Nirenberg type inequalities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-04T15:49:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51M16",
      "46E35",
      "46E30",
      "35P15"
    ],
    "keywords": [
      "isoperimetric problem",
      "non-radial weights",
      "applications",
      "caffarelli-kohn-nirenberg type inequalities",
      "sharp functional inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}