On the growth of solutions to the minimal surface equation over domains containing a halfplane
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🧮 math.AP
math.CVmath.DG
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growthcontainingdomainshalfplaneminimalassumingboundaryconsider
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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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