Bernstein theorems for nonlinear geometric PDEs
Abstract
In this expository article we revisit the Bernstein problem for several geometric PDEs including the minimal surface, Monge-Amp\`ere, and special Lagrangian equations. We also discuss the minimal surface system where appropriate. The article is based on a lecture series given by the author for the inaugural European Doctorate School of Differential Geometry, held in Granada in June 2024.
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