{
  "abstract": "Let $Ω\\subset\\mathbb C$ be a domain and let $\\mathcal H:\\mathbb C\\to\\mathbb C$ be Lipschitz with constant $0<k<1$. We prove that every weak $W^{1,2}_{\\mathrm{loc}}$ solution of the autonomous Beltrami equation $f_{\\bar z}=\\mathcal H(f_z)$ belongs to $C^{1,γ}_{\\mathrm{loc}}$, where $γ=3/(2K+1)$ and $K=(1+k)/(1-k)$. The exponent is optimal, resolving the conjecture of Astala, Clop, Faraco, Jääskeläinen and Koski.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25702",
  "author_total": 2,
  "authors": [
    {
      "name": "Jie Huang"
    },
    {
      "name": "Jian-Feng Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/exnzdwkntczm2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25702",
  "fulltext_url": null,
  "id": "exnzdwkntczm2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25702",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.CV"
    ],
    [
      "openalex",
      "2608|Analytic and geometric function theory"
    ]
  ],
  "openalex": "W7223009507",
  "pdf_url": "https://arxiv.org/pdf/2610.25702",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/exnzdwkntczm2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25702",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25702"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp Holder regularity for autonomous Beltrami equations",
  "title_text": "Sharp Holder regularity for autonomous Beltrami equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/exnzdwkntczm2",
  "venue": "arXiv",
  "versions": []
}