On the growth of solutions to the minimal surface equation over domains containing a halfplane

2013/11/13 by Lundberg, Erik, Weitsman, Allen
#49Q05 #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1311.3334

Abstract

We consider minimal graphs u(x,y)>0 over unbounded domains D (with u vanishing on the boundary of D). Assuming D contains a sector properly containing a halfplane, we obtain estimates on growth and provide examples illustrating a range of growth.

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