{
  "id": "1511.03596",
  "version": "v1",
  "published": "2015-11-11T18:26:43.000Z",
  "updated": "2015-11-11T18:26:43.000Z",
  "title": "Optimizing the first eigenvalue of some quasilinear operators with respect to the boundary conditions",
  "authors": [
    "Francesco Della Pietra",
    "Nunzia Gavitone",
    "Hynek Kovarik"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a class of quasilinear operators on a bounded domain $\\Omega\\subset \\mathbb R^n$ and address the question of optimizing the first eigenvalue with respect to the boundary conditions, which are of the Robin-type. We describe the optimizing boundary conditions and establish upper and lower bounds on the respective maximal and minimal eigenvalue.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-11T18:26:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P15",
      "35P30",
      "35J60"
    ],
    "keywords": [
      "quasilinear operators",
      "first eigenvalue",
      "lower bounds",
      "optimizing boundary conditions",
      "minimal eigenvalue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}