{
  "id": "math/9801090",
  "version": "v3",
  "published": "1998-01-20T14:06:43.000Z",
  "updated": "1999-06-02T11:10:14.000Z",
  "title": "Bounds on the multiplicity of eigenvalues for fixed membranes",
  "authors": [
    "Thomas Hoffman-Ostenhof",
    "Peter W. Michor",
    "Nikolai Nadirashvili"
  ],
  "comment": "AmSTeX, epsf.tex, 17 encapsulated postscript figures, 17 pages. Third version with minor stylistic improvements",
  "journal": "Geometric And Functional Analysis (GAFA). Vol. 9 (1999), 1169-1188",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "For a membrane in the plane the multiplicity of the $k$-th eigenvalue is known to be not greater than $2k-1$. Here we prove that it is actually not greater than $2k-3$, for $k\\ge 3$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "1999-06-02T11:10:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B05",
      "35P15",
      "58G25"
    ],
    "keywords": [
      "fixed membranes",
      "multiplicity"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......1090H"
    }
  }
}