{
  "abstract": "The present work is concerned with a class of biharmonic elliptic equations involving critical and singular nonlinearities. Under the assumption that p(x) attains its global maximum at some point, we derive that the problem admits a mountain pass type solution via the Brezis-Lieb lemma. Meanwhile, if p(x) has k global maximum points, we establish the existence of k nontrivial solutions by virtue of variational methods and the Nehari manifold.",
  "abstract_shown": true,
  "affiliations": [
    "School of Sciences, Guizhou University of Engineering Science, Bijie 551700, China",
    "Confucius Institute, Faculty of Languages, Souphanouvong University, Luang Prabang 06000, Laos"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Xun Yang"
    },
    {
      "affs": [
        1
      ],
      "name": "Xaychalern Kongkeo"
    },
    {
      "affs": [
        0
      ],
      "name": "Guaiqi Tian"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0xhce42mdm0ee.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15110804",
  "fulltext_url": null,
  "id": "0xhce42mdm0ee",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/11/804",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/0xhce42mdm0ee.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15110804",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/11/804"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "journal-openalex:F26",
      "subfield": "general"
    }
  ],
  "title": "Existence Results for the Critical Biharmonic Elliptic Equation Involving Singular Nonlinearities",
  "title_text": "Existence Results for the Critical Biharmonic Elliptic Equation Involving Singular Nonlinearities",
  "type": "peer-reviewed",
  "updated_at": "2026-10-31T00:20:46Z",
  "url": "https://research.draconitic.com/paper/0xhce42mdm0ee",
  "venue": "Axioms",
  "versions": []
}