{
  "id": "2006.05934",
  "version": "v1",
  "published": "2020-06-10T16:42:20.000Z",
  "updated": "2020-06-10T16:42:20.000Z",
  "title": "On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension",
  "authors": [
    "F. Faraci",
    "K. Silva"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The present paper deals with a parametrized Kirchhoff type problem involving a critical nonlinearity in high dimension. Existence, non existence and multiplicity of solutions are obtained under the effect of a subcritical perturbation by combining variational properties with a careful analysis of the fiber maps of the energy functional associated to the problem. The particular case of a pure power perturbation is also addressed. Through the study of the Nehari manifolds we extend the general case to a wider range of the parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-10T16:42:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kirchhoff type equation",
      "high dimension",
      "brezis-nirenberg problem",
      "parametrized kirchhoff type problem",
      "pure power perturbation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}