{
  "id": "1909.13350",
  "version": "v1",
  "published": "2019-09-29T19:43:12.000Z",
  "updated": "2019-09-29T19:43:12.000Z",
  "title": "Fractional Kirchhoff-Schrödinger-Poisson system involving singularity",
  "authors": [
    "Sekhar Ghosh"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study the existence of infinitely many weak solutions to the Kirchhoff-Schr\\\"{o}dinger-Poisson system involving the weak singularity, i.e. when $0<\\gamma<1$. Further, we obtain the existence of solution with the strong singularity, i.e. when $\\gamma>1$. We employ variational techniques to prove the existence and multiplicity results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-29T19:43:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "35J35",
      "35J60",
      "35J75"
    ],
    "keywords": [
      "fractional kirchhoff-schrödinger-poisson system",
      "employ variational techniques",
      "weak singularity",
      "weak solutions",
      "multiplicity results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}