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PreprintarXiv licencearXiv

Light rays of Lorentzian graphs and the Born-Infeld model

  • Cristiana De Filippis
  • Giuseppe Mingione
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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.

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Cite

BibTeXRIS
BibTeX
@misc{filippis2026light,
  title = {{Light rays of Lorentzian graphs and the Born-Infeld model}},
  author = {Cristiana De Filippis and Giuseppe Mingione},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.25449},
  eprint = {2609.25449},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25449},
}
RIS
TY  - UNPB
TI  - Light rays of Lorentzian graphs and the Born-Infeld model
AU  - Cristiana De Filippis
AU  - Giuseppe Mingione
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2609.25449
UR  - https://arxiv.org/abs/2609.25449
AB  - 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.
ER  -