{
  "id": "1806.07303",
  "version": "v1",
  "published": "2018-06-19T15:20:17.000Z",
  "updated": "2018-06-19T15:20:17.000Z",
  "title": "A Variational Characterisation Of The Second Eigenvalue Of The P-Laplacian On Quasi Open Sets",
  "authors": [
    "Nicola Fusco",
    "Shirsho Mukherjee",
    "Yi Ru-Ya Zhang"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article, we prove a minimax characterisation of the second eigenvalue of the p-Laplacian operator on p-quasi open sets, using a construction based on minimizing movements. This leads also to an existence theorem for spectral functionals depending on the first two eigenvalues of the p-Laplacian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-19T15:20:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P30",
      "35J20",
      "58E30",
      "49Q10"
    ],
    "keywords": [
      "second eigenvalue",
      "variational characterisation",
      "p-quasi open sets",
      "existence theorem",
      "minimax characterisation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}