{
  "id": "0906.1922",
  "version": "v2",
  "published": "2009-06-10T12:23:06.000Z",
  "updated": "2009-06-12T15:04:35.000Z",
  "title": "The concentration-compactness principle for variable exponent spaces and applications",
  "authors": [
    "J. Fernandez Bonder",
    "A. Silva"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to the variable exponent case. We also give some applications to the existence problem for the $p(x)-$Laplacian with critical growth.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-12T15:04:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "35J60"
    ],
    "keywords": [
      "variable exponent spaces",
      "concentration-compactness principle",
      "applications",
      "existence problem",
      "variable exponent case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.1922F"
    }
  }
}