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math.AP2020
A Bernstein Type Theorem for Minimal Graphs over Convex Domains
Nick Edelen, Zhehui Wang
Given any , we show that if is an open convex domain (e.g. a half-space), and is a solution to the minimal surface equati…
math.DG2020
Regularity of free boundary minimal surfaces in locally polyhedral domains
Nicholas Edelen, Chao Li
We prove an Allard-type regularity theorem for free-boundary minimal surfaces in Lipschitz domains locally modelled on convex polyhedra. We show that if such a minimal surface is s…