{
  "id": "1808.09624",
  "version": "v1",
  "published": "2018-08-29T03:35:14.000Z",
  "updated": "2018-08-29T03:35:14.000Z",
  "title": "On solutions of anisotropic elliptic equations with variable exponent and measure data",
  "authors": [
    "L. M. Kozhevnikova"
  ],
  "comment": "35 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The Dirichlet problem in arbitrary domains for a wide class of anisotropic elliptic equations of the second order with variable exponent nonlinearities and the right-hand side as a measure is considered. The existence of an entropy solution in anisotropic Sobolev spaces with variable exponents is established.It is proved that the obtained entropy solution is a renormalized solution of the considered problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-29T03:35:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J25",
      "35J62",
      "35D99",
      "46E35"
    ],
    "keywords": [
      "anisotropic elliptic equations",
      "measure data",
      "entropy solution",
      "anisotropic sobolev spaces",
      "dirichlet problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}