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arXiv · 2407.11903

Bernstein theorems for nonlinear geometric PDEs

Connor Mooney
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Abstract

In this expository article we revisit the Bernstein problem for several geometric PDEs including the minimal surface, Monge-Amp\`{e}re, 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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Connor Mooney. 2024-07-16. Bernstein theorems for nonlinear geometric PDEs. https://arxiv.org/abs/2407.11903

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