17 citations · 82 across the 19 of their papers we have counts for
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math.AP2022★ 5 cited
A Minkowski-type inequality for capillary hypersurfaces in a half-space
Guofang Wang, Liangjun Weng, Chao Xia
In this article, we investigate a flow of inverse mean curvature type for capillary hypersurfaces in the half-space. We establish the global existence of solutions for this flow an…
math.DG2022★ 8 cited
A constrained mean curvature flow and Alexandrov-Fenchel inequalities
Xinqun Mei, Guofang Wang, Liangjun Weng
In this article, we study a locally constrained mean curvature flow for star-shaped hypersurfaces with capillary boundary in the half-space. We prove its long-time existence and th…
math.DG2022★ 17 cited
Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary
Guofang Wang, Liangjun Weng, Chao Xia
In this paper, we first introduce quermassintegrals for capillary hypersurfaces in the half-space. Then we solve the related isoperimetric type problems for the convex capillary hy…