{
  "abstract": "We prove sharp boundary Hölder regularity for solutions to equations involving stable integro-differential operators in bounded open sets satisfying the exterior C 1 , Dini -property. This result is new even for the fractional Laplacian. A Hopf-type boundary lemma is proven, too. An additional feature of this work is that the regularity estimate is robust as s → 1 − and we recover the classical results for second order equations.",
  "abstract_shown": true,
  "affiliations": [
    "Fakultät für Mathematik, Universität Bielefeld, Postfach 10 01 31, 33501 Bielefeld, Germany"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Florian Grube",
      "orcid": "0000-0003-1336-5167"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4rjjkh6e4jeny.bib",
  "cited_by": 10,
  "doi": "10.1016/j.jfa.2026.111744",
  "fulltext_url": null,
  "id": "4rjjkh6e4jeny",
  "issns": [
    "0022-1236",
    "1096-0783"
  ],
  "landing_url": "https://doi.org/10.1016/j.jfa.2026.111744",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W4403821487",
  "pdf_url": "https://www.sciencedirect.com/science/article/pii/S0022123626004088/pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": "Elsevier BV",
  "ris": "https://research.draconitic.com/paper/4rjjkh6e4jeny.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:42Z",
      "native_id": "W4403821487",
      "source": "openalex",
      "url": "https://doi.org/10.1016/j.jfa.2026.111744"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "journal-openalex:2610|Advanced Operator Algebra Research",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Boundary regularity and Hopf lemma for nondegenerate stable operators",
  "title_text": "Boundary regularity and Hopf lemma for nondegenerate stable operators",
  "type": "peer-reviewed",
  "updated_at": "2026-11-07T13:20:42Z",
  "url": "https://research.draconitic.com/paper/4rjjkh6e4jeny",
  "venue": "Journal of Functional Analysis",
  "versions": []
}