报告题目：A Liouville Theorem for the Affine Maximal Equation on Half-space

报告时间：2023-11-02   10:00-11:00

报 告 人 ：周斌  研究员  北京大学

报告地点：理学院东北楼四楼报告厅（404）

Abstract：The famous affine Bernstein theorem, also called Chern’s conjecture, asserts that an affine maximal graph of a smooth, locally uniformly convex function on Euclidean space is a paraboloid. This conjecture was first proved by Trudinger-Wang in dimension two in 2000. One can easily find affine maximal graphs which are not paraboloid on half spaces. In this talk, we show a Liouville theorem for the affine maximal equation on half-spaces with certain assumptions. The proof is based on the study on the related linearized Monge-Amp\`ere equation and the Monge-Amp\`ere equation.