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Regularity theorems for Lipschitz viscosity solutions to the minimal surface system

Dimler, Bryan
arXiv (All) · Papers
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analysis-of-pdesdifferential-geometry
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 functions of such solutions satisfy the homogeneous Pucci inequalities. This allows us to apply the regularity theory for sca
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