{
  "abstract": "For every bounded convex domain $Ω\\subset\\mathbb R^d$, $d\\ge2$, we establish the following sharp inequality for torsional rigidity $$T(Ω)\\ge\\frac{2(d+1)}{d}\\int\\limits_Ω\\operatorname{dist}(x,\\partialΩ)^2\\dd x,$$ where $T(Ω)=4\\int\\limits_Ωu\\dd x$ and $-Δu=1$ in $Ω$, $u\\in H^1_0(Ω)$. Equality holds for balls.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39666",
  "author_total": 1,
  "authors": [
    {
      "name": "M. A. Perelmuter"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dd05kfzappnd9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39666",
  "fulltext_url": null,
  "id": "dd05kfzappnd9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39666",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39666",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dd05kfzappnd9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.39666",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39666"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A sharp lower bound for torsional rigidity of convex domains",
  "title_text": "A sharp lower bound for torsional rigidity of convex domains",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/dd05kfzappnd9",
  "venue": "arXiv",
  "versions": []
}