6 papers
A flow approach to the Toda system
Yong Luo, Linlin Sun, Guofang Wang
In this paper we introduce a flow to study the Toda system, which we call {\it Toda flow.} More generally, we introduce a flow of the Liouville systems, formulated as a coupled par…
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…
Half-space Liouville-type theorems for minimal graphs with capillary boundary
Guofang Wang, Wei Wei, Xuwen Zhang
In this paper, we prove two Liouville-type theorems for capillary minimal graph over . First, if has linear growth, then for and for any ,…
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…
Varifolds with capillary boundary
Guofang Wang, Xuwen Zhang
In this paper we introduce and study a new class of varifolds in of arbitrary dimensions and co-dimensions, which satisfy a Neumann-type boundary condition chara…
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 …