Zobrazeno 1 - 10
of 222
pro vyhledávání: '"Jia Xiaohan"'
In this paper we prove the following Willmore-type inequality: On an unbounded closed convex set $K\subset\mathbb{R}^{n+1}$ $(n\ge 2)$, for any embedded hypersurface $\Sigma\subset K$ with boundary $\partial\Sigma\subset \partial K$ satisfying certai
Externí odkaz:
http://arxiv.org/abs/2409.03321
Autor:
Jia, Xiaohan, Zhang, Xuwen
In this paper, we prove the quantitative version of the Alexandrov theorem for capillary hypersurfaces in the half-space. The proof is based on the quantitative analysis of the Montiel-Ros-type argument, carried out in the joint works with Wang-Xia \
Externí odkaz:
http://arxiv.org/abs/2403.06597
In this note, we study a Serrin-type partially overdetermined problem proposed by Guo-Xia (Calc. Var. Partial Differential Equations 58: no. 160, 2019. https://doi.org/10.1007/s00526-019-1603-3, and prove a rigidity result that characterizes capillar
Externí odkaz:
http://arxiv.org/abs/2311.18581
Publikováno v:
Calc. Var. Partial Differential Equations 63 (2024), no.5, Paper No. 125, 24 pp
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
Externí odkaz:
http://arxiv.org/abs/2311.18585
Publikováno v:
J. Math. Study 57 (2024), no. 3, 243-258. Special Issue on the 100th Anniversary of the Founding of the Mathematics Discipline at Xiamen University
In this paper, we prove an optimal Heintze-Karcher-type inequality for anisotropic free boundary hypersurfaces in general convex domains. The equality is achieved for anisotropic free boundary Wulff shapes in a convex cone. As applications, we prove
Externí odkaz:
http://arxiv.org/abs/2311.01162
Autor:
Nie, Xin1,2 (AUTHOR), Jia, Xiaohan1,3 (AUTHOR), Zhu, Kaixian1 (AUTHOR), Ling, Ziqing1,3 (AUTHOR), Chen, Hongfan1 (AUTHOR), Xie, Jing1 (AUTHOR), Ao, Zonghua2 (AUTHOR), Song, Chuan2 (AUTHOR), Shen, Caihong2 (AUTHOR) shench@lzlj.com, Zhu, Chenglin4 (AUTHOR), Yan, Wei5 (AUTHOR), Wang, Jiabin5 (AUTHOR), Wang, Yijing6 (AUTHOR), Zhao, Zhiping3 (AUTHOR) shench@lzlj.com
Publikováno v:
Molecules. Oct2024, Vol. 29 Issue 20, p4851. 17p.
Publikováno v:
Arch. Ration. Mech. Anal. 247 (2023), no.2, Paper No. 25, 19 pp
In this paper, we show that any embedded capillary hypersurface in the half-space with anisotropic constant mean curvature is a truncated Wulff shape. This extends Wente's result \cite{Wente80} to the anisotropic case and He-Li-Ma-Ge's result \cite{H
Externí odkaz:
http://arxiv.org/abs/2211.02913
In this paper, we utilize the method of Heintze-Karcher to prove a "best" version of Heintze-Karcher-type inequality for capillary hypersurfaces in the half-space or in a wedge. One of new crucial ingredients in the proof is modified parallel hypersu
Externí odkaz:
http://arxiv.org/abs/2209.13839
We prove the symmetry of solutions to overdetermined problems for a class of fully nonlinear equations, namely Hessian quotient equations and Hessian quotient curvature equations. Our approach is based on establishing a Rellich-Pohozaev type identity
Externí odkaz:
http://arxiv.org/abs/2209.06268
Publikováno v:
In Renewable Energy December 2024 237 Part D