{
  "abstract": "We prove interior $C^{1,α}$ estimates for weak solutions of the fractional $p$-Poisson equation, with $p\\geq2$. For right-hand sides in $L^q$, we obtain the estimate when $p<(1-d/q)/(1-s)$. For $γ$-Hölder continuous right-hand sides, the range is $p<(1+γ)/(1-s)$. Both ranges of parameters are optimal.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.12012",
  "author_total": 2,
  "authors": [
    {
      "name": "Davide Giovagnoli"
    },
    {
      "name": "David Jesus"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8d29dtwknwtfc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12012",
  "fulltext_url": null,
  "id": "8d29dtwknwtfc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.12012",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7221193181",
  "pdf_url": "https://arxiv.org/pdf/2610.12012",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8d29dtwknwtfc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2610.12012",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12012"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Hölder Gradient Estimates for $(s,p)$-Poisson Equations with measurable and Hölder Data",
  "title_text": "Hölder Gradient Estimates for (s,p)-Poisson Equations with measurable and Hölder Data",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/8d29dtwknwtfc",
  "venue": "arXiv",
  "versions": []
}