{
  "id": "2411.10119",
  "version": "v1",
  "published": "2024-11-15T11:33:52.000Z",
  "updated": "2024-11-15T11:33:52.000Z",
  "title": "Multiple solutions for superlinear fractional $p$-Laplacian equations",
  "authors": [
    "Antonio Iannizzotto",
    "Vasile Staicu",
    "Vincenzo Vespri"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a Dirichlet problem driven by the (degenerate or singular) fractional $p$-Laplacian and involving a $(p-1)$-superlinear reaction at infinity, not necessarily satisfying the Ambrosetti-Rabinowitz condition. Using critical point theory, truncation, and Morse theory, we prove the existence of at least three nontrivial solutions to the problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-15T11:33:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A15",
      "35R11",
      "58E05"
    ],
    "keywords": [
      "superlinear fractional",
      "laplacian equations",
      "multiple solutions",
      "dirichlet problem driven",
      "nontrivial solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}