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arXiv · 2403.06597

Quantitative Alexandrov theorem for capillary hypersurfaces in the half-space

Xiaohan Jia·Xuwen Zhang
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Abstract

In this paper, we prove the quantitative version of the Alexandrov theorem for capillary hypersurfaces in the half-space, which generalizes Julin-Niinikoski's result to the capillary case. The proof is based on the quantitative analysis of the Montiel-Ros-type argument carried out in our joint works with Wang-Xia.

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Xiaohan Jia, Xuwen Zhang. 2024-03-11. Quantitative Alexandrov theorem for capillary hypersurfaces in the half-space. https://arxiv.org/abs/2403.06597

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