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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.DG2026
Special Lagrangians with multiple isolated singularities
Bryan Dimler, Filippo Gaia
We extend the Caffarelli-Hardt-Simon perturbation argument for truncated regular minimal cones to the special Lagrangian setting and prove a bridge principle for regular special La…