{
  "abstract": "In this paper, we investigate the differentiability of Korevaar--Schoen $p$-energy forms and the associated $p$-energy measures. We obtain higher-order derivatives by virtue of explicit realizations of Korevaar--Schoen $p$-energy forms and the associated $p$-energy measures as subsequential pointwise limits of certain double integrals.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07869",
  "author_total": 1,
  "authors": [
    {
      "name": "Ryosuke Shimizu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cwcy7vn07mt89.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07869",
  "fulltext_url": null,
  "id": "cwcy7vn07mt89",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07869",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.FA"
    ],
    [
      "arxiv",
      "math.MG"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
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  "openalex": "W7220968193",
  "pdf_url": "https://arxiv.org/pdf/2610.07869",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cwcy7vn07mt89.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.07869",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07869"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.MG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Higher-order differentiability of Korevaar--Schoen energy forms and energy measures",
  "title_text": "Higher-order differentiability of Korevaar--Schoen energy forms and energy measures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/cwcy7vn07mt89",
  "venue": "arXiv",
  "versions": []
}