Guofang Wang

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20242026

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6 papers · 1 filter

math.DG2026

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…

math.DG2026

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…

math.DG2025

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 $R_{+}^{n}$ . First, if $u$ has linear growth, then for $n = 2, 3$ and for any $I^¸ \in (0, I ¨ )$ ,…

math.DG2025

Varifolds with capillary boundary

Guofang Wang, Xuwen Zhang

In this paper we introduce and study a new class of varifolds in $R^{n + 1}$ of arbitrary dimensions and co-dimensions, which satisfy a Neumann-type boundary condition chara…

math.DG2025

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 $K \subset R^{n + 1}$ $(n \geq 2)$ , for any embedded hypersurface $I^£ \subset K$ …

math.DG2024

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 $R_{+}^{3}$ and in the unit ball $B^{3}$ and extend the result of Volkmann (C…