{
  "id": "1210.1397",
  "version": "v1",
  "published": "2012-10-04T11:57:38.000Z",
  "updated": "2012-10-04T11:57:38.000Z",
  "title": "An Eigenvalue Problem with variable exponents",
  "authors": [
    "Giovanni Franzina",
    "Peter Lindqvist"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "A highly nonlinear eigenvalue problem is studied in a Sobolev space with variable exponent. The Euler-Lagrange equation for the minimization of a Rayleigh quotient of two Luxemburg norms is derived. The asymptotic case with a \"variable infinity\" is treated. Local uniqueness is proved for the viscosity solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-04T11:57:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35J92",
      "35P30"
    ],
    "keywords": [
      "variable exponent",
      "highly nonlinear eigenvalue problem",
      "euler-lagrange equation",
      "sobolev space",
      "rayleigh quotient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.1397F"
    }
  }
}