{
  "abstract": "We study a quasilinear elliptic problem involving the $p$-laplacian operator and a slightly subcritical nonlinearity with a sign-changing weight. We assume that the slightly subcritical nonlinearity is a regularly varying function at zero and at infinity, which are not necessarily asymptotic to a power at infinity. We state sufficient conditions which guarantee a Palais-Smale condition. We also provide a bifurcation theorem for these nonlinearities, which allow us to state the existence of a bifurcated branch of positive solutions, containing a turning point, and multiplicity of solutions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Topological Methods in Nonlinear Analysis Volume 67, No. 2, 2026, 589-617",
  "arxiv": "2610.38596",
  "author_total": 2,
  "authors": [
    {
      "name": "Mabel Cuesta"
    },
    {
      "name": "Rosa Pardo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e7p0p20fscjnw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38596",
  "fulltext_url": null,
  "id": "e7p0p20fscjnw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38596",
  "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/2610.38596",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e7p0p20fscjnw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38596",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38596"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A $p$-Laplacian Problem with Slightly Subcritical Regularly Varying Nonlinearity",
  "title_text": "A p-Laplacian Problem with Slightly Subcritical Regularly Varying Nonlinearity",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/e7p0p20fscjnw",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.12775/tmna.2025.047",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}