5 citations · 7 across the 10 of their papers we have counts for
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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…
Monotonicity Formulas for Capillary Surfaces
Guofang Wang, Chao Xia, Xuwen Zhang
In this paper, we establish monotonicity formulas for capillary surfaces in the half-space and in the unit ball and extend the result of Volkmann (C…
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…
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…