{
  "abstract": "In this work, we focus on the existence and asymptotic behavior of radial solutions for the k-Hessian equation with the nonlinear gradient termsSkσD2u=λb(|x|)φ(−u)|∇u|m,inΩ,u=0,on∂Ω, $$\\begin{cases}_{k}\\left(\\sigma \\left({D}^{2}u\\right)\\right)=\\lambda b\\left(\\vert x\\vert \\right)\\varphi \\left(-u\\right)\\vert \\nabla u{\\vert }^{m}, \\mathrm{i}\\mathrm{n} {\\Omega},\\hfill \\\\ u=0, \\mathrm{o}\\mathrm{n} \\partial {\\Omega},\\hfill \\end{cases}$$",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Xinzhou Normal University, Xinzhou, Shanxi034000, P.R. China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Yang Zedong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0rqm66ts0wm9k.bib",
  "cited_by": 0,
  "doi": "10.1515/dema-2025-0314",
  "fulltext_url": "https://doi.org/10.1515/dema-2025-0314",
  "id": "0rqm66ts0wm9k",
  "issns": [
    "2391-4661"
  ],
  "landing_url": "https://doi.org/10.1515/dema-2025-0314",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QA1-939"
    ],
    [
      "openalex",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7223113329",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": "De Gruyter",
  "ris": "https://research.draconitic.com/paper/0rqm66ts0wm9k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:47:23Z",
      "native_id": "e095211ba4f44fd8b3940b3cf035701b",
      "source": "doaj",
      "url": "https://doi.org/10.1515/dema-2025-0314"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Nonlinear Partial Differential Equations",
      "subfield": "general"
    }
  ],
  "title": "Existence and asymptotic behavior of radial solutions for a k-Hessian equation with the gradient",
  "title_text": "Existence and asymptotic behavior of radial solutions for a k-Hessian equation with the gradient",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:47:23Z",
  "url": "https://research.draconitic.com/paper/0rqm66ts0wm9k",
  "venue": "Demonstratio Mathematica",
  "versions": []
}