{
  "abstract": "We study a class of Dirichlet problems for coupled quasilinear elliptic systems driven by the $p$--Laplacian in a bounded domain, where the nonlinear terms split into a critical homogeneous part and a convex subcritical perturbation. Using variational methods, a nonlinear eigenvalue theory based on the Fadell--Rabinowitz $\\mathbb Z_2$--cohomological index, and a refined linking construction, we prove the existence of a nontrivial solution for every parameter value under suitable dimensional assumptions. We also treat a nonhomogeneous version with small forcing terms by applying a recent abstract perturbation theorem, yielding the existence of two distinct nontrivial solutions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28267",
  "author_total": 4,
  "authors": [
    {
      "name": "Elisandra Gloss"
    },
    {
      "name": "Bruno Ribeiro"
    },
    {
      "name": "Artur Jorge Marinho"
    },
    {
      "name": "Kanishka Perera"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/116d9sf16ny4f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28267",
  "fulltext_url": null,
  "id": "116d9sf16ny4f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28267",
  "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/2609.28267",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/116d9sf16ny4f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.28267",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28267"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Critical quasilinear elliptic systems with convex subcritical perturbations",
  "title_text": "Critical quasilinear elliptic systems with convex subcritical perturbations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/116d9sf16ny4f",
  "venue": "arXiv",
  "versions": []
}