{
  "abstract": "We prove the Ashbaugh--Benguria conjecture for bounded domains with Lipschitz boundary in $\\mathbb R^m$. More precisely, among all bounded Lipschitz domains of fixed volume, the ball minimizes the sum of the reciprocals of the first $m$ nonzero Neumann eigenvalues. Equality is attained precisely by balls.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.08271",
  "author_total": 3,
  "authors": [
    {
      "name": "Yixin He"
    },
    {
      "name": "Yanyang Li"
    },
    {
      "name": "Quanyu Tang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fc3xe1ep0vr9g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.08271",
  "fulltext_url": null,
  "id": "fc3xe1ep0vr9g",
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  "landing_url": "https://arxiv.org/abs/2606.08271",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
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      "arxiv",
      "math.SP"
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      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
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  "openalex": "W7164010391",
  "pdf_url": "https://arxiv.org/pdf/2606.08271",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fc3xe1ep0vr9g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2606.08271",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.08271"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues",
  "title_text": "A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/fc3xe1ep0vr9g",
  "venue": "arXiv",
  "versions": []
}