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Hopf-Nitsche-type theorem for anisotropic capillary disks in a half 3-space
Abstract
In this paper, we prove that any compact immersed disk in a half $3$-space that has constant anisotropic mean curvature and satisfies the anisotropic capillary boundary condition is a homothetic Wulff cap.
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BibTeX
@misc{lu2026hopfnitschetype,
title = {{Hopf-Nitsche-type theorem for anisotropic capillary disks in a half 3-space}},
author = {Chenghang Lu and Chao Xia},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29289},
eprint = {2609.29289},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29289},
}
RIS
TY - UNPB
TI - Hopf-Nitsche-type theorem for anisotropic capillary disks in a half 3-space
AU - Chenghang Lu
AU - Chao Xia
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.29289
UR - https://arxiv.org/abs/2609.29289
AB - In this paper, we prove that any compact immersed disk in a half $3$-space that has constant anisotropic mean curvature and satisfies the anisotropic capillary boundary condition is a homothetic Wulff cap.
ER -