{
  "id": "0803.4242",
  "version": "v1",
  "published": "2008-03-29T07:54:10.000Z",
  "updated": "2008-03-29T07:54:10.000Z",
  "title": "Some isoperimetric inequalities with application to the Stekloff problem",
  "authors": [
    "Antoine Henrot",
    "Gérard A. Philippin",
    "Abdesselam Safoui"
  ],
  "journal": "Journal of Convex Analysis 15, 3 (2008) 581-592",
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "In this paper we establish isoperimetric inequalities for the product of some moments of inertia. As an application, we obtain an isoperimetric inequality for the product of the $N$ first nonzero eigenvalues of the Stekloff problem in $\\mathbb{R}^N$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-29T07:54:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P15",
      "52A40"
    ],
    "keywords": [
      "isoperimetric inequality",
      "stekloff problem",
      "application",
      "first nonzero eigenvalues"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.4242H"
    }
  }
}