{
  "id": "2008.00114",
  "version": "v1",
  "published": "2020-07-31T23:33:34.000Z",
  "updated": "2020-07-31T23:33:34.000Z",
  "title": "Existence and multiplicity results for Kirchhoff type problems on a double phase setting",
  "authors": [
    "Alessio Fiscella",
    "Andrea Pinamonti"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study two classes of Kirchhoff type problems set on a double phase framework. That is, the functional space where finding solutions coincides with the Musielak-Orlicz-Sobolev space $W^{1,\\mathcal H}_0(\\Omega)$, with modular function $\\mathcal H$ related to the so called double phase operator. Via a variational approach, we provide existence and multiplicity results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-31T23:33:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiplicity results",
      "double phase setting",
      "kirchhoff type problems set",
      "double phase framework",
      "variational approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}