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math.DG2024
Willmore-type inequality in unbounded convex sets
Xiaohan Jia, Guofang Wang, Chao Xia +1
In this paper we prove the following Willmore-type inequality: On an unbounded closed convex set , for any embedded hypersurface w…
math.DG2024
Quantitative Alexandrov theorem for capillary hypersurfaces in the half-space
Xiaohan Jia, Xuwen Zhang
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 capilla…