Growth Property for the Minimal Surface Equation in Unbounded Domains
Jenn-Fang Hwang · Proceedings of the American Mathematical Society · 1994
Here we prove that if u satisfies the minimal surface equation in an unbounded domain $\Omega$ which is properly contained in a half plane, then the growth rate of u is of the same order as the shape of $\Omega$ and $u{|_{\partial \Omega }}$.