{
  "id": "1408.6982",
  "version": "v1",
  "published": "2014-08-29T11:11:08.000Z",
  "updated": "2014-08-29T11:11:08.000Z",
  "title": "Optimality conditions for the buckling of a clamped plate",
  "authors": [
    "Kathrin Knappmann",
    "Alfred Wagner"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "We prove the following uniqueness result for the buckling plate. Assume there exists a smooth domain which minimizes the first buckling eigenvalue for a plate among all smooth domains of given volume. Then the domain must be a ball. The proof uses the second variation for the buckling eigenvalue and an inequality by L. E. Payne to establish this result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-29T11:11:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K20",
      "49R05",
      "35J20",
      "35N25"
    ],
    "keywords": [
      "optimality conditions",
      "clamped plate",
      "smooth domain",
      "second variation",
      "uniqueness result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}