{
  "id": "2006.02410",
  "version": "v1",
  "published": "2020-06-03T17:36:47.000Z",
  "updated": "2020-06-03T17:36:47.000Z",
  "title": "On a $p(\\cdot)$-biharmonic problem of Kirchhoff type involving critical growth",
  "authors": [
    "Nguyen Thanh Chung",
    "Ky Ho"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish a concentration-compactness principle for the Sobolev space $W^{2,p(\\cdot)}(\\Omega)\\cap W_0^{1,p(\\cdot)}(\\Omega)$ that is a tool for overcoming the lack of compactness of the critical Sobolev imbedding. Using this result we obtain several existence and multiplicity results for a class of Kirchhoff type problems involving $p(\\cdot)$-biharmonic operator and critical growth.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-03T17:36:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B33",
      "35J20",
      "35J60",
      "35G30",
      "46E35",
      "49J35"
    ],
    "keywords": [
      "critical growth",
      "biharmonic problem",
      "kirchhoff type problems",
      "sobolev space",
      "biharmonic operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}