{
  "abstract": "Following a program outlined by Bartnik, and also employing nonlinear potential techniques we developed in the last years, we study lightlike singularities of variational solutions to the prescribed Lorentzian mean curvature equation with possibly unbounded (rough) curvature. This corresponds to allowing for unbounded charges in the Born-Infeld model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25449",
  "author_total": 2,
  "authors": [
    {
      "name": "Cristiana De Filippis"
    },
    {
      "name": "Giuseppe Mingione"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cphs8a0bdphmx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25449",
  "fulltext_url": null,
  "id": "cphs8a0bdphmx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25449",
  "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"
    ],
    [
      "arxiv",
      "math.MG"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7214105429",
  "pdf_url": "https://arxiv.org/pdf/2609.25449",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cphs8a0bdphmx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2609.25449",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25449"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Light rays of Lorentzian graphs and the Born-Infeld model",
  "title_text": "Light rays of Lorentzian graphs and the Born-Infeld model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/cphs8a0bdphmx",
  "venue": "arXiv",
  "versions": []
}