Communications in Analysis and Geometry
Volume 13 (2005)
Growth of solutions to the minimal surface equation over domains in a half plane
Pages: 1077 – 1087
We consider minimal graphs $\ u=u(x,y)>0$ over unbounded domains D with $\ u=0$ on $\partial D$. We shall study the rates at which $u$ can grow when $D$ is contained in a half plane.