The anisotropic Bernstein problem
数学专题报告
报告题目(Title)：The anisotropic Bernstein problem
报告人(Speaker)：Connor Mooney (University of California at Irvine)
地点(Place)：Zoom ID: 953 3934 3887 Passcode: 232558
时间(Time)：2023 年 3月 10 日(周五), 9：00-10：00
邀请人(Inviter)：熊金钢
报告摘要
The Bernstein problem asks whether entire minimal graphs in R^{n+1} are necessarily hyperplanes. It is known through spectacular work of Bernstein, Fleming, De Giorgi, Almgren, Simons, and Bombieri-De Giorgi-Giusti that the answer is positive if and only if n < 8. The anisotropic Bernstein problem asks the same question about minimizers of parametric elliptic functionals, which are natural generalizations of the area functional that both arise in many applications and offer important technical challenges. We will discuss the recent solution of this problem (the answer is positive if and only if n < 4). This is joint work with Y. Yang.
* This PDE seminar is co-organized with Tianling Jin at The Hong Kong University of Science and Technology. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
