PreprintarXiv licencearXiv
Existence of flat blowups at boundary points of anisotropic minimizing hypercurrents
Abstract
We consider m-dimensional currents in ℝm+1 that almost minimize an anisotropic energy whose integrand is continuous in the space variable and C2,Dini in the normal variable. We prove that if the boundary of such a current is differentiable, then the current admits a flat blowup at every boundary point.
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BibTeX
@misc{novack2026existence,
title = {{Existence of flat blowups at boundary points of anisotropic minimizing hypercurrents}},
author = {Michael Novack and Reinaldo Resende},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18838},
eprint = {2609.18838},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18838},
}
RIS
TY - UNPB
TI - Existence of flat blowups at boundary points of anisotropic minimizing hypercurrents
AU - Michael Novack
AU - Reinaldo Resende
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.18838
UR - https://arxiv.org/abs/2609.18838
AB - We consider m-dimensional currents in ℝ^m+1 that almost minimize an anisotropic energy whose integrand is continuous in the space variable and C^2,Dini in the normal variable. We prove that if the boundary of such a current is differentiable, then the current admits a flat blowup at every boundary point.
ER -