{
  "abstract": "We study admissible entire subsolutions and radial boundary blow-up solutions of $S_k^{\\frac1k}[ΔuI-D^2u]=f(u)+g(u)|Du|^q$ for $1\\leq k<n$, continuing our study of the determinant case $k=n$ in Part I. Under structural assumptions on the continuous, non-decreasing coefficients $f$ and $g$, we establish necessary and sufficient conditions for the existence of entire subsolutions when $q<2$. Our results cover the non-Lipschitz case $0<q<1$ with a possibly vanishing zero-order term, the gradient-singular case $q<0$, and sign-changing gradient coefficients. We also characterize finite-radius blow-up of radial solutions and derive two-sided estimates for the blow-up radius, as well as pointwise upper bounds for their profiles in terms of inverse Keller--Osserman functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15697",
  "author_total": 3,
  "authors": [
    {
      "name": "Jingwen Ji"
    },
    {
      "name": "Feida Jiang"
    },
    {
      "name": "Mengni Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/evyqf7c319j3x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15697",
  "fulltext_url": null,
  "id": "evyqf7c319j3x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15697",
  "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": "W7221773229",
  "pdf_url": "https://arxiv.org/pdf/2610.15697",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/evyqf7c319j3x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.15697",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15697"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp conditions for fully nonlinear equations with $(n-1)$-Hessian matrix: Part II. $k$-Hessian case",
  "title_text": "Sharp conditions for fully nonlinear equations with (n−1)-Hessian matrix: Part II. k-Hessian case",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/evyqf7c319j3x",
  "venue": "arXiv",
  "versions": []
}