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arXiv · 1311.3334

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

Erik Lundberg·Allen Weitsman
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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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Erik Lundberg, Allen Weitsman. 2013-11-13. On the growth of solutions to the minimal surface equation over domains containing a halfplane. https://arxiv.org/abs/1311.3334

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