{
  "id": "math/0511167",
  "version": "v1",
  "published": "2005-11-07T11:38:34.000Z",
  "updated": "2005-11-07T11:38:34.000Z",
  "title": "On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent",
  "authors": [
    "Teodora Liliana Dinu"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a class of nonlinear Dirichlet problems involving the $p(x)$--Laplace operator. Our framework is based on the theory of Sobolev spaces with variable exponent and we establish the existence of a weak solution in such a space. The proof relies on the Mountain Pass Theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-07T11:38:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35D05",
      "35J60",
      "35P30",
      "47H15",
      "58E05"
    ],
    "keywords": [
      "nonlinear eigenvalue problem",
      "sobolev spaces",
      "variable exponent",
      "nonlinear dirichlet problems",
      "mountain pass theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11167L"
    }
  }
}