2 citations · 2 across the 5 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
math.AP2024
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…
math.MG2024★ 2 cited
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…
math.DG2024
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…