{
  "id": "2004.02576",
  "version": "v1",
  "published": "2020-04-06T11:45:44.000Z",
  "updated": "2020-04-06T11:45:44.000Z",
  "title": "Critical concave convex Ambrosetti-Prodi type problem for fractional $p$-Laplacian",
  "authors": [
    "Hamilton Bueno",
    "Eduardo Huerto Caqui",
    "Olimpio Miyagaki",
    "Fábio Pereira"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider a class of critical concave convex Ambrosetti-Prodi type problems for the fractional $p$-Laplacian operator. By applying the Linking Theorem and the Mountain Pass Theorem as well, the interaction of the nonlinearities with the first eigenvalue of fractional $p$-Laplacian will be used to prove existence and multiplicity of solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-06T11:45:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A15",
      "35R11",
      "35J60",
      "35J62",
      "35B33"
    ],
    "keywords": [
      "concave convex ambrosetti-prodi type problem",
      "critical concave convex ambrosetti-prodi type",
      "fractional",
      "mountain pass theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}