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math.AP2026
Regularity theorems for Lipschitz viscosity solutions to the minimal surface system
Bryan Dimler
We prove several regularity theorems concerning Lipschitz viscosity solutions to the minimal surface system. The main lemma (i.e. ``Decoupling Lemma") says that the component funct…
math.AP2023
Partial regularity for Lipschitz solutions to the minimal surface system
Bryan Dimler
In this paper, we study the regularity of several notions of Lipschitz solutions to the minimal surface system with an emphasis on partial regularity results. These include station…