Bernstein theorems for nonlinear geometric PDEs
Differential Geometry
2024-08-09 v2 Analysis of PDEs
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.
Cite
@article{arxiv.2407.11903,
title = {Bernstein theorems for nonlinear geometric PDEs},
author = {Connor Mooney},
journal= {arXiv preprint arXiv:2407.11903},
year = {2024}
}
Comments
typos corrected