{
  "annotation_id": "2910765a-9cf7-4f50-8a9c-d5b41c745768",
  "date_created": "2026-02-17T05:53:12.391000Z",
  "date_modified": "2026-02-17T05:53:12.391000Z",
  "file_hash": "99e67283e410ad7e0f8eab09c178a1bd9eba8a4ceb2e457191a7a253808cced5",
  "private": false,
  "record": {
    "abstract": "We study a critical problem for an operator of mixed order obtained by the superposition of a Laplacian with a fractional Laplacian. The main novelty is that we consider a mixed operator of the form $-\\Delta- \\gamma(-\\Delta)^s$, namely we suppose that the fractional Laplacian has the ``wrong sign\u0027\u0027 and can be seen as a nonlocal perturbation of the purely local case, which is needed to produce a nontrivial solution of the critical problem.",
    "arxiv_id": "2601.07521",
    "authors": [
      "Stefano Biagi",
      "Serena Dipierro",
      "Enrico Valdinoci",
      "Eugenio Vecchi"
    ],
    "categories": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "On a Sobolev critical problem for the superposition of a local and nonlocal operator with the \"wrong sign\u0027\u0027",
    "url": "https://arxiv.org/abs/2601.07521",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ce8d662c-9f75-42ec-b9a4-05872dbe5852",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}