{
  "id": "math/0307333",
  "version": "v1",
  "published": "2003-07-25T09:44:48.000Z",
  "updated": "2003-07-25T09:44:48.000Z",
  "title": "A duality theory for some non-convex functions of matrices",
  "authors": [
    "Ivar Ekeland"
  ],
  "categories": [
    "math.OC",
    "math.AP"
  ],
  "abstract": "We study a special class of non-convex functions which appear in nonlinear elasticity; and we prove that they have well-defined Legandre transforms. Several examples are given, and an application to a nonlinear eigenvalue problem",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-25T09:44:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49N15",
      "74B20"
    ],
    "keywords": [
      "non-convex functions",
      "duality theory",
      "nonlinear eigenvalue problem",
      "nonlinear elasticity",
      "special class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......7333E"
    }
  }
}