{
  "abstract": "This article is concerned with mixed Steklov--Robin eigenvalues on bounded domains in $\\mathbb{R}^{n}, n \\geq 2$, with Lipschitz boundary. Specifically, we consider domains with symmetry of order $4$ containing a spherical hole. We obtain isoperimetric inequalities for the $k$-th Steklov-Robin eigenvalues for each $k \\in \\{2, 3, \\dots, n+1\\}$. We provide examples to emphasize the fact that the symmetry assumptions, on the family of domains considered, are crucial.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.21326",
  "author_total": 1,
  "authors": [
    {
      "name": "Sagar Basak"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/520c25gmqcad8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.21326",
  "fulltext_url": null,
  "id": "520c25gmqcad8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.21326",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.SP"
    ],
    [
      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7213908416",
  "pdf_url": "https://arxiv.org/pdf/2609.21326",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/520c25gmqcad8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2609.21326",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.21326"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp bounds for higher mixed Steklov-Robin eigenvalues on domains with holes",
  "title_text": "Sharp bounds for higher mixed Steklov-Robin eigenvalues on domains with holes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/520c25gmqcad8",
  "venue": "arXiv",
  "versions": []
}