报告题目：Title: The anisotropic Bernstein problem

报告人：杨洋博士（美国，霍普金斯大学）

报告时间：2025年3月26日星期三上午10：00—11：00

腾讯会议号：#腾讯会议：593-858-297

密码：016542

点击链接入会：https://meeting.tencent.com/dm/dVuL00NpJtKc

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 C. Mooney.

专家简介：杨洋，现为约翰霍普金斯大学数学系博后。博士毕业于加州大学尔湾分校，导师为Connor Mooney。研究领域主要是椭圆PDEs和几何分析，已在Math. Ann.，Invent. Math.等期刊发表学术论文。

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