{
  "abstract": "We prove a sharp Zhong-Yang type lower bound for the first nonzero eigenvalue of the $p$-Laplacian on closed manifolds with small integral Ricci curvature for $p \\geq 2$. The proof combines a global elliptic estimate obtained by Sobolev truncation with strict perturbations of one-dimensional comparison profiles.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.12852",
  "author_total": 1,
  "authors": [
    {
      "name": "Shoo Seto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a66n4xpxyxfan.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12852",
  "fulltext_url": null,
  "id": "a66n4xpxyxfan",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.12852",
  "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"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7221527395",
  "pdf_url": "https://arxiv.org/pdf/2610.12852",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a66n4xpxyxfan.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.12852",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12852"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Sharp lower bound of the first eigenvalue of the $p$-Laplacian under integral Ricci curvature",
  "title_text": "Sharp lower bound of the first eigenvalue of the p-Laplacian under integral Ricci curvature",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/a66n4xpxyxfan",
  "venue": "arXiv",
  "versions": []
}