论文标题
伯恩斯坦类型定理，用于凸域上的最小图
A Bernstein Type Theorem for Minimal Graphs over Convex Domains
论文作者
论文摘要
Given any $n \geq 2$, we show that if $Ω\subsetneq \mathbb{R}^n$ is an open convex domain (e.g. a half-space), and $u : Ω\to \mathbb{R}$ is a solution to the minimal surface equation which agrees with a linear function on $\partial Ω$, then $u$ must itself be linear.
Given any $n \geq 2$, we show that if $Ω\subsetneq \mathbb{R}^n$ is an open convex domain (e.g. a half-space), and $u : Ω\to \mathbb{R}$ is a solution to the minimal surface equation which agrees with a linear function on $\partial Ω$, then $u$ must itself be linear.
