Zhehui Wang

activity

20192026

most citedLiouville Type Theorems for Minimal Surface Equations in Half Space

2 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

math.DG2026

Quadratic Scalar Curvature Decay and Uniform Positivity in Dimensions Four through Seven

Zhehui Wang, Jintian Zhu

Let $4 \leq n \leq 7$ and let $(M^{n}, g)$ be a complete, connected, orientable, noncompact Riemannian manifold of positive scalar curvature. We prove that if the asymptotic quadratic scal…

math.AP2026

Failure of Interior Hölder and Gradient Estimates for the Subcritical Special Lagrangian Equation

Zhenyu Fan, Caiyan Li, Zhehui Wang

For every $n \geq 3$ , we show, by a family of explicit entire real-analytic solutions, that, for every subcritical phase and every $0 < α \leq 1$ , oscillation-based interior $C^{α}$ estimate…

math.DG2026

On the proof of Bray's conjecture

Xumin Jiang, Mingxiang Li, Zhehui Wang

Let $(M^{n}, g)$ be a connected, closed, smooth Riemannian manifold with dimension $n \geq 3$ . There exists a positive constant $ε_{n} < 1$ such that, if Ricci curvature $\operat…

math.DG2026

Bonnet-Myers type theorems for $Q$ -curvature on four-manifolds

Xumin Jiang, Mingxiang Li, Zhehui Wang

Let $(M^{4}, g)$ be a complete four-dimensional Riemannian manifold. First, if the $Q$ -curvature $Q_{g} \geq 6 k^{2}$ and scalar curvature $R_{g} \geq - 12 k$ for some positive constant $k$ , the…

math.AP2022

Stability of Bernstein type theorem for the minimal surface equation

Guosheng Jiang, Zhehui Wang, Jintian Zhu

Let $Ω ⊊ R^{n} (n \geq 2)$ be an unbounded convex domain. We study the minimal surface equation in $Ω$ with boundary value given by the sum of a linear function and…

math.AP2020

A Bernstein Type Theorem for Minimal Graphs over Convex Domains

Nick Edelen, Zhehui Wang

Given any $n \geq 2$ , we show that if $Ω ⊊ R^{n}$ is an open convex domain (e.g. a half-space), and $u : Ω \to R$ is a solution to the minimal surface equati…

math.AP2019★ 2 cited

Liouville Type Theorems for Minimal Surface Equations in Half Space

Guosheng Jiang, Zhehui Wang, Jintian Zhu

For $n \geq 2,$ we obtain Liouville type theorems for minimal surface equations in half space $R_{+}^{n}$ with affine Dirichlet boundary value or constant Neumann boundary value.

Quadratic Scalar Curvature Decay and Uniform Positivity in Dimensions Four through Seven

Failure of Interior Hölder and Gradient Estimates for the Subcritical Special Lagrangian Equation

On the proof of Bray's conjecture

Bonnet-Myers type theorems for Q-curvature on four-manifolds

Stability of Bernstein type theorem for the minimal surface equation

A Bernstein Type Theorem for Minimal Graphs over Convex Domains

Liouville Type Theorems for Minimal Surface Equations in Half Space

Bonnet-Myers type theorems for $Q$ -curvature on four-manifolds