In this article we prove that all boundary points of a minimal oriented hypersurface in a Riemannian manifold are regular, that is, in a neighborhood of any boundary point, the minimal surface is a C1,¼ submanifold with boundary.
Keywords: Minimal surfaces, Boundary regularity, Integral currents, Codimension
@article{COCV_2022__28_1_A52_0,
author = {Steinbr\"uchel, Simone},
title = {Boundary regularity of minimal oriented hypersurfaces on a manifold},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
year = {2022},
publisher = {EDP-Sciences},
volume = {28},
doi = {10.1051/cocv/2022047},
mrnumber = {4459522},
zbl = {1496.35135},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv/2022047/}
}
TY - JOUR AU - Steinbrüchel, Simone TI - Boundary regularity of minimal oriented hypersurfaces on a manifold JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2022 VL - 28 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/cocv/2022047/ DO - 10.1051/cocv/2022047 LA - en ID - COCV_2022__28_1_A52_0 ER -
%0 Journal Article %A Steinbrüchel, Simone %T Boundary regularity of minimal oriented hypersurfaces on a manifold %J ESAIM: Control, Optimisation and Calculus of Variations %D 2022 %V 28 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/cocv/2022047/ %R 10.1051/cocv/2022047 %G en %F COCV_2022__28_1_A52_0
Steinbrüchel, Simone. Boundary regularity of minimal oriented hypersurfaces on a manifold. ESAIM: Control, Optimisation and Calculus of Variations, Tome 28 (2022), article no. 52. doi: 10.1051/cocv/2022047
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