{
  "id": "0706.0873",
  "version": "v1",
  "published": "2007-06-06T17:37:17.000Z",
  "updated": "2007-06-06T17:37:17.000Z",
  "title": "Shape derivative of the first eigenvalue of the 1-Laplacian",
  "authors": [
    "Nicolas Saintier"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We compute the shape derivative of the first eigenvalue of the 1-Laplacian. As an application, we find that a ball is critical among all volume-preserving deformations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-06T17:37:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q10",
      "35P30",
      "49Q20"
    ],
    "keywords": [
      "first eigenvalue",
      "shape derivative"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.0873S"
    }
  }
}