部分超定问题和毛细CMC超曲面的刚性和定量稳定性

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-05-05 DOI:10.1007/s00526-024-02733-5

Xiaohan Jia, Zheng Lu, Chao Xia, Xuwen Zhang

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引用次数: 0

摘要

在本文中，我们首先证明了半空间中塞林型部分超定问题的刚度结果，从而给出了超定问题对毛细管球帽的描述。第二部分，我们证明了 Serrin 型部分过定问题的定量稳定性结果，以及半空间中毛细管几乎恒定平均曲率超曲面的定量稳定性结果。

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Rigidity and quantitative stability for partially overdetermined problems and capillary CMC hypersurfaces

In this paper, we first prove a rigidity result for a Serrin-type partially overdetermined problem in the half-space, which gives a characterization of capillary spherical caps by the overdetermined problem. In the second part, we prove quantitative stability results for the Serrin-type partially overdetermined problem, as well as capillary almost constant mean curvature hypersurfaces in the half-space.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464