{
  "abstract": "We study non-negative solutions of the indefinite sublinear Dirichlet problem $$ \\left \\{\\ \\begin{array}{ll} -Δu=λu+m(x)|u|^{α-1}u&\\quad\\hbox{ in $Ω$},\\\\ u=0&\\quad \\hbox{ on $\\partial Ω$}, \\end{array} \\right . $$ where $Ω\\subset \\mathbb{R}^{N}$ is a smooth bounded domain, $0<α<1$, $m\\in L^{\\infty }(Ω)$ is a sign-changing or non-positive weight, and $λ\\in \\mathbb{R}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30578",
  "author_total": 3,
  "authors": [
    {
      "name": "J. I. Dıaz"
    },
    {
      "name": "J. Hernandez"
    },
    {
      "name": "Y. Ilyasov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9agb81nhp9j8v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30578",
  "fulltext_url": null,
  "id": "9agb81nhp9j8v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30578",
  "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",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7204943450",
  "pdf_url": "https://arxiv.org/pdf/2608.30578",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9agb81nhp9j8v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.30578",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30578"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Compactly Supported Solutions near a Nehari Critical Value",
  "title_text": "Compactly Supported Solutions near a Nehari Critical Value",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/9agb81nhp9j8v",
  "venue": "arXiv",
  "versions": []
}