{
  "id": "2005.00617",
  "version": "v1",
  "published": "2020-05-01T21:26:44.000Z",
  "updated": "2020-05-01T21:26:44.000Z",
  "title": "Strauss and Lions type theorems for the fractional Sobolev spaces with variable exponent and applications to nonlocal Kirchhoff-Choquard problem",
  "authors": [
    "Sabri Bahrouni",
    "Hichem Ounaies"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper deals with Strauss and Lions-type theorems for fractional Sobolev spaces with variable exponent $W^{s,p(.),\\tilde{p}(.,.)}(\\Omega)$, when $p$ and $\\tilde{p}$ satisfies some conditions. As application, we study the existence of solutions for a class of Kirchhoff-Choquard problem in $\\mathbb{R}^N$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-01T21:26:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional sobolev spaces",
      "nonlocal kirchhoff-choquard problem",
      "lions type theorems",
      "variable exponent",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}