{
  "abstract": "We prove everywhere regularity for Lipschitz solutions to the prescribed vertical mean curvature system in the plane, where the codimension is arbitrary and the mean curvature is in $L^r, \\, r > 2$. This strengthens and extends our previous result on the Lawson-Osserman conjecture, https://arxiv.org/abs/2308.04997.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01970",
  "author_total": 3,
  "authors": [
    {
      "name": "Jonas Hirsch"
    },
    {
      "name": "Connor Mooney"
    },
    {
      "name": "Riccardo Tione"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1m9j24xpc63qb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01970",
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  "id": "1m9j24xpc63qb",
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  "landing_url": "https://arxiv.org/abs/2610.01970",
  "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"
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      "arxiv",
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    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
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  "openalex": "W7216496871",
  "pdf_url": "https://arxiv.org/pdf/2610.01970",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1m9j24xpc63qb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2610.01970",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01970"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Regularity for the prescribed vertical mean curvature system in the plane",
  "title_text": "Regularity for the prescribed vertical mean curvature system in the plane",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/1m9j24xpc63qb",
  "venue": "arXiv",
  "versions": []
}