{
  "id": "2210.02333",
  "version": "v1",
  "published": "2022-10-05T15:38:35.000Z",
  "updated": "2022-10-05T15:38:35.000Z",
  "title": "Positive solutions for the fractional p-Laplacian via mixed topological and variational methods",
  "authors": [
    "Antonio Iannizzotto"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a nonlinear, nonlocal Dirichlet problem driven by the degenerate fractional p-Laplacian via a combination of topological methods (degree theory for operators of monotone type) and variational methods (critical point theory). We assume local conditions ensuring the existence of sub- and supersolutions. So we prove existence of two positive solutions, in both the coercive and noncoercive cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-05T15:38:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R11",
      "47H11",
      "35A15"
    ],
    "keywords": [
      "variational methods",
      "positive solutions",
      "mixed topological",
      "nonlocal dirichlet problem driven",
      "degenerate fractional p-laplacian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}