2 citations · 2 across the 5 of their papers we have counts for
6 papers
Stable Capillary Minimal Hypersurfaces in
Jia Li, Chenghang Lu, Chao Xia
We prove that a complete, two-sided, stable capillary minimal hypersurface in is flat provided its contact angle satisfies , where $κ_*=4Γ(3/4)^2/Γ(1/4)^2…
A half-space Liouville theorem for anisotropic minimal graph with free boundary
Guofang Wang, Wei Wei, Chao Xia +1
In this paper we prove the following Liouville-type theorem: any anisotropic minimal graph with free boundary in the half-space must be flat, provided that the graph function has a…
Stable anisotropic minimal hypersurfaces in and
Jia Li, Chao Xia
In this paper, we prove that a complete, two-sided, stable anisotropic minimal immersed hypersurface in or is flat, provided the anisotropic area…
The Logarithmic Sobolev inequality on non-compact self-shrinkers
Guofang Wang, Chao Xia, Xiqiang Zhang
In the paper we establish an optimal logarithmic Sobolev inequality for complete, non-compact, properly embedded self-shrinkers in the Euclidean space, which generalizes a recent r…
Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary II
Xinqun Mei, Guofang Wang, Liangjun Weng +1
In this paper, we provide an affirmative answer to [16, Conjecture 1.5] on the Alexandrov-Fenchel inequality for quermassintegrals for convex capillary hypersurfaces in the Euclide…
Capillary hypersurfaces, Heintze-Karcher's inequality and Zermelo's navigation
Guofang Wang, Chao Xia
In this paper, we establish a Heintze-Karcher-type inequality for capillary hypersurfaces in a unit ball. To achieve this, we introduce a special Finsler metric given by Zermelo's…