{
  "id": "1311.7165",
  "version": "v2",
  "published": "2013-11-27T21:46:50.000Z",
  "updated": "2014-04-04T17:51:14.000Z",
  "title": "Sharp embedding of Sobolev spaces involving general kernels and its application",
  "authors": [
    "Huyuan Chen",
    "Hichem Hajaiej"
  ],
  "comment": "20 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The purpose of this paper is to extend the embedding theorem of Sobolev spaces involving general kernels and we provide a sharp critical exponent in these embeddings. As an application, solutions for equations driven by a general integro-differential operator, with homogeneous Dirichlet boundary conditions, is established by using the Mountain Pass Theorem.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-04T17:51:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sobolev spaces",
      "general kernels",
      "sharp embedding",
      "application",
      "mountain pass theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.7165C"
    }
  }
}