{
  "id": "2212.11339",
  "version": "v1",
  "published": "2022-12-21T20:21:54.000Z",
  "updated": "2022-12-21T20:21:54.000Z",
  "title": "Bifurcation-type results for the fractional p-Laplacian with parametric nonlinear reaction",
  "authors": [
    "Silvia Frassu",
    "Antonio Iannizzotto"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a Dirichlet problem driven by the degenerate fractional p-Laplacian and involving a nonlinear reaction, which depends on a positive parameter. The reaction is assumed to be (p-1)-sublinear near the origin and (p-1)-superlinear at infinity (including the concave-convex case). Following a variational approach based on a combination of critical point theory and suitable truncation techniques, we prove a bifurcation-type result for the existence of positive solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-21T20:21:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A15",
      "35R11",
      "35B09"
    ],
    "keywords": [
      "parametric nonlinear reaction",
      "bifurcation-type result",
      "dirichlet problem driven",
      "degenerate fractional p-laplacian",
      "concave-convex case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}