{
  "abstract": "The main goal of this paper is to characterize the existence of principal eigenvalues of $$ \\left \\{ \\begin{array}{ll} -\\mathrm{div}\\left(A\\nabla u\\right) +qu=λm u \\quad & \\hbox{in} \\;\\; Ω,\\\\[1ex] \\mathscr{B} u = 0 \\quad & \\hbox{on} \\;\\; \\partial Ω, \\end{array} \\right. $$ where $m\\in L^\\infty(Ω)$ satisfies some of the conditions (A1)-(A3) below, as well as to deliver their variational characterizations whenever they exist. As we are dealing with general boundary operators of mixed non-classical type, in the general setting of this paper our results are far more general than all existing results. The case when $m$ satisfies (A2) has not been previously explored in the literature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39940",
  "author_total": 2,
  "authors": [
    {
      "name": "Julián López-Gómez"
    },
    {
      "name": "Alejandro Sahuquillo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5cesbf7kf3wcb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39940",
  "fulltext_url": null,
  "id": "5cesbf7kf3wcb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39940",
  "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.AP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39940",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5cesbf7kf3wcb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.39940",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39940"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Variational characterization of principal eigenvalues for a general class of linear weighted BVP's under mixed boundary conditions of non-classical type",
  "title_text": "Variational characterization of principal eigenvalues for a general class of linear weighted BVP's under mixed boundary conditions of non-classical type",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/5cesbf7kf3wcb",
  "venue": "arXiv",
  "versions": []
}