Generalizations of the Bernstein Problem

Explore a captivating mathematics lecture on "Generalizations of the Bernstein Problem" delivered by Stanford's Otis Chodosh at the ZhengTong Chern-Weil Symposium. Delve into the fascinating world of minimal surface equations, beginning with Sergei Bernstein's 1914 proof that entire solutions on R^2 must be affine. Discover the deep connections between this nonlinear version of the Liouville theorem for harmonic functions and the regularity of minimal surfaces. Gain insights into higher-dimensional scenarios and natural generalizations of this problem, expanding your understanding of complex mathematical concepts in this 57-minute presentation from the University of Chicago Department of Mathematics.