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math.DG2020
Level Curves of Minimal Graphs
Allen Weitsman
We prove an inequality for the curvature of level sets of minimal graphs having vanishing boundary values and show that if the boundary is concave, then all the level sets are conc…
math.DG2020
A Sharp Bound for the Growth of Minimal Graphs
Allen Weitsman
Sharp bounds are given for solutions to the minimal surface equation with vanishing boundary values over domains containing sectors of opening bigger than pi.