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arXiv · 2311.18585

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

Xiaohan Jia·Zheng Lu·Chao Xia·Xuwen Zhang
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Abstract

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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Xiaohan Jia, Zheng Lu, Chao Xia, Xuwen Zhang. 2023-11-30. Rigidity and quantitative stability for partially overdetermined problems and capillary CMC hypersurfaces. https://doi.org/10.1007/s00526-024-02733-5

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