{
  "abstract": "For every finite-dimensional simple Euclidean Jordan algebra $V$ of rank at least three, we realize the function $\\operatorname{tr}(x^3)/|x|$ on its traceless subspace $V_0$ as a $C^{1,1}\\setminus C^2$ viscosity solution of a uniformly elliptic equation $F(D^2 u)=0$ in $\\mathbb{R}^{\\operatorname{dim}V_0}$. This unifies and extends earlier constructions from Cartan isoparametric cubics, Hsiang minimal cubics, and traceless real symmetric matrices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04378",
  "author_total": 1,
  "authors": [
    {
      "name": "BaoZhi Chu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2sdj092346cr2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04378",
  "fulltext_url": null,
  "id": "2sdj092346cr2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04378",
  "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"
    ],
    [
      "arxiv",
      "math.RA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04378",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2sdj092346cr2.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.04378",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04378"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Singular solutions from simple Euclidean Jordan algebras",
  "title_text": "Singular solutions from simple Euclidean Jordan algebras",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:38Z",
  "url": "https://research.draconitic.com/paper/2sdj092346cr2",
  "venue": "arXiv",
  "versions": []
}