{
  "id": "2103.14114",
  "version": "v1",
  "published": "2021-03-25T20:13:08.000Z",
  "updated": "2021-03-25T20:13:08.000Z",
  "title": "Nodal solutions of fourth-order Kirchhoff equations with critical growth in $\\mathbb{R}^N$",
  "authors": [
    "Hongling Pu",
    "Shiqi Li",
    "Sihua Liang",
    "Dušan D. Repovš"
  ],
  "journal": "Electron. J. Differential Equations 2021 (2021), art. 19, 20 pp",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a class of fourth-order elliptic equations of Kirchhoff type with critical growth in $\\mathbb{R}^N$. By using constrained minimization in the Nehari manifold, we establish sufficient conditions for the existence of nodal (that is, sign-changing) solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-25T20:13:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A15",
      "35J60",
      "47G20"
    ],
    "keywords": [
      "fourth-order kirchhoff equations",
      "critical growth",
      "nodal solutions",
      "fourth-order elliptic equations",
      "kirchhoff type"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}