{
  "id": "2210.14230",
  "version": "v1",
  "published": "2022-10-25T14:35:40.000Z",
  "updated": "2022-10-25T14:35:40.000Z",
  "title": "A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators",
  "authors": [
    "Kanishka Perera",
    "Caterina Sportelli"
  ],
  "comment": "Preprint. arXiv admin note: substantial text overlap with arXiv:2210.13742, arXiv:2102.09131",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study some critical elliptic problems involving the difference of two nonlocal operators, or the difference of a local operator and a nonlocal operator. The main result is the existence of two nontrivial weak solutions, one with negative energy and the other with positive energy, for all sufficiently small values of a parameter. The proof is based on an abstract result recently obtained in [20].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-25T14:35:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R11",
      "35B33",
      "35J20"
    ],
    "keywords": [
      "critical elliptic problems",
      "nonlocal operator",
      "multiplicity result",
      "difference",
      "nontrivial weak solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}