{
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  "affiliations": [
    "Department of Mathematics, National Taiwan Normal University, Taipei City, Taiwan (R. O. C.) Ulrich.Menne@math.ntnu.edu.tw",
    "Institute for Applied Mathematics, University of Bonn, Bonn, Germany scharrer@iam.uni-bonn.de"
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  "authors": [
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      "name": "Ulrich Menne",
      "orcid": "0000-0003-4203-1860"
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      "name": "Christian Scharrer",
      "orcid": "0000-0002-6651-6179"
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  "bibtex": "https://research.draconitic.com/paper/bczt3yjjqvw42.bib",
  "cited_by": 11,
  "doi": "10.1215/00127094-2025-0051",
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  "id": "bczt3yjjqvw42",
  "issns": [
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  "landing_url": "http://arxiv.org/abs/1709.05504",
  "language": "en",
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  "pdf_url": "https://arxiv.org/pdf/1709.05504",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-11",
  "publisher": "Duke University Press",
  "ris": "https://research.draconitic.com/paper/bczt3yjjqvw42.ris",
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  "title": "A priori bounds for geodesic diameter. Part III. A Sobolev–Poincaré inequality and applications to a variety of geometric variational problems",
  "title_text": "A priori bounds for geodesic diameter. Part III. A Sobolev–Poincaré inequality and applications to a variety of geometric variational problems",
  "type": "peer-reviewed",
  "updated_at": "2026-11-07T13:20:42Z",
  "url": "https://research.draconitic.com/paper/bczt3yjjqvw42",
  "venue": "Duke Mathematical Journal",
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