Communications in Analysis and Geometry

Volume 13 (2005)

Number 5

Growth of solutions to the minimal surface equation over domains in a half plane

Pages: 1077 – 1087



Allen Weitsman


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.

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