17 citations · 82 across the 19 of their papers we have counts for
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A fully nonlinear locally constrained curvature flow for capillary hypersurface
Xinqun Mei, Liangjun Weng
In this article, we study a locally constrained fully nonlinear curvature flow for convex capillary hypersurfaces in half-space. We prove that the flow preserves the convexity, exi…
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…
Alexandrov-Fenchel inequalities for capillary hypersurfaces in hyperbolic space
Xinqun Mei, Liangjun Weng
In this article, we first introduce the quermassintegrals for compact hypersurfaces with capillary boundaries in hyperbolic space from a variational viewpoint, and then we solve an…
Hypersurfaces with capillary boundary evolving by volume preserving power mean curvature flow
Carlo Sinestrari, Liangjun Weng
In this paper, we introduce a volume- or area-preserving curvature flow for hypersurfaces with capillary boundary in the half-space, with speed given by a positive power of the mea…
Prescribed quotient curvature problem and related eigenvalue problem
Xinqun Mei, Guofang Wang, Liangjun Weng
In this paper, we investigate the existence of admissible (and strictly convex) smooth solutions to the prescribed quotient type curvature problem with . For cases where…