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PreprintarXiv licencearXiv

The Sharp Ellipticity Threshold for W1,1-Regularity

  • Franz Gmeineder
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Abstract

We establish that the ellipticity of the minimal surface integrand is the sharp threshold for W1,1-regularity of solutions to the Dirichlet problem on BV. Here, we particularly deal with the autonomous case of convex linear growth functionals.

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Cite

BibTeXRIS
BibTeX
@misc{gmeineder2026sharp,
  title = {{The Sharp Ellipticity Threshold for $\mathrmW^1,1$-Regularity}},
  author = {Franz Gmeineder},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.29826},
  eprint = {2609.29826},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29826},
}
RIS
TY  - UNPB
TI  - The Sharp Ellipticity Threshold for W^1,1-Regularity
AU  - Franz Gmeineder
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.29826
UR  - https://arxiv.org/abs/2609.29826
AB  - We establish that the ellipticity of the minimal surface integrand is the sharp threshold for W^1,1-regularity of solutions to the Dirichlet problem on BV. Here, we particularly deal with the autonomous case of convex linear growth functionals.
ER  -