{
  "id": "1407.7422",
  "version": "v2",
  "published": "2014-07-28T14:06:51.000Z",
  "updated": "2015-08-29T22:19:48.000Z",
  "title": "An inequality à la Szegő-Weinberger for the $p-$Laplacian on convex sets",
  "authors": [
    "L. Brasco",
    "C. Nitsch",
    "C. Trombetti"
  ],
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "In this paper we prove a sharp inequality of Szeg\\H{o}-Weinberger type for the first nontrivial eigenvalue of the $p-$Laplacian with Neumann boundary conditions. This applies to convex sets with given diameter. Some variants, extensions and limit cases are investigated as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-28T14:06:51.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-08-29T22:19:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P30",
      "47A75",
      "34B15"
    ],
    "keywords": [
      "convex sets",
      "szegő-weinberger",
      "neumann boundary conditions",
      "first nontrivial eigenvalue",
      "sharp inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.7422B"
    }
  }
}