IUMJ

Title: On the growth of minimal graphs

Authors: Allen Weitsman

Issue: Volume 54 (2005), Issue 2, 617-626

Abstract:

We consider minimal graphs $u = u(x,y) > 0$ over unbounded domains $D \subset \mathbb{R}^2$ with $\partial D$ a piecewise smooth curve on which $u = 0$. We give some lower growth estimates for $u$ in terms of the geometry of $D$.