{
  "id": "2004.10779",
  "version": "v1",
  "published": "2020-04-22T18:26:56.000Z",
  "updated": "2020-04-22T18:26:56.000Z",
  "title": "On the p-Laplacian Lichnerowicz equation on compact Riemannian manifolds",
  "authors": [
    "Nanbo Chen",
    "Xiaochun Liu"
  ],
  "comment": "32 pages,2 figures. It has been accepted for publication in SCIENCE CHINA Mathematics",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we deal with a singular quasilinear critical elliptic equation of Lichnerowicz type involving the p-Laplacian operator. With the help of the subcritical approach from variational method, we obtain the non-existence, existence, and multiplicity results under some given assumptions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-22T18:26:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J05",
      "35J20"
    ],
    "keywords": [
      "compact riemannian manifolds",
      "p-laplacian lichnerowicz equation",
      "singular quasilinear critical elliptic equation",
      "multiplicity results",
      "lichnerowicz type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}