{
  "abstract": "We study the perturbed Euclidean spinorial Yamabe equation \\[ D_{g_{\\mathbb R^n}}ψ = \\frac n2\\bigl(1+\\varepsilon K(x)\\bigr) |ψ|^{2^*-2}ψ \\qquad\\text{on }\\mathbb R^n,\\quad n\\ge2, \\]where $2^*:=2n/(n-1)$, $\\varepsilon>0$ is a small parameter and $K$ is a prescribed radial function. We establish a finite-dimensional reduction within a radial spinor space determined by a fixed unit spinor, reducing the problem to the analysis of a function of the dilation parameter. Under suitable assumptions on $K$, we obtain explicit existence criteria for solutions with this prescribed spinorial structure, together with a multiplicity criterion yielding solutions associated with distinct scales. These criteria are expressed in terms of the behavior of $K$ at the origin and weighted integral quantities.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21471",
  "author_total": 3,
  "authors": [
    {
      "name": "Ting Li"
    },
    {
      "name": "Zhongwei Tang"
    },
    {
      "name": "Yuhang Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5yccehketc20w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21471",
  "fulltext_url": null,
  "id": "5yccehketc20w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21471",
  "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.DG"
    ],
    [
      "openalex",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7222570034",
  "pdf_url": "https://arxiv.org/pdf/2610.21471",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5yccehketc20w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21471",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21471"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Fixed-spinor radial solutions of a perturbed Euclidean spinorial Yamabe equation",
  "title_text": "Fixed-spinor radial solutions of a perturbed Euclidean spinorial Yamabe equation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/5yccehketc20w",
  "venue": "arXiv",
  "versions": []
}