古天乐代言太阳集团核心数学研究所——几何与分析综合报告第67讲 半空间上仿射极大方程的Liouville定理

创建时间:  2024/01/17  龚惠英   浏览次数:   返回

报告题目 (Title): A Liouville theorem for the affine maximal equation on half-space

中文标题:半空间上仿射极大方程的Liouville定理

报告人 (Speaker):周斌(北京大学)

报告时间 (Time):2024年1月17日(周三) 17:00-18:00

报告地点 (Place):校本部GJ303

邀请人(Inviter):席东盟、李晋、张德凯,吴加勇

主办部门:古天乐代言太阳集团数学系

报告摘要: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

上一条:数学学科Seminar第2629讲 对偶四元数拉普拉斯矩阵与编队控制

下一条:古天乐代言太阳集团核心数学研究所——几何与分析综合报告第66讲 Finsler几何中的一个新量


古天乐代言太阳集团核心数学研究所——几何与分析综合报告第67讲 半空间上仿射极大方程的Liouville定理

创建时间:  2024/01/17  龚惠英   浏览次数:   返回

报告题目 (Title): A Liouville theorem for the affine maximal equation on half-space

中文标题:半空间上仿射极大方程的Liouville定理

报告人 (Speaker):周斌(北京大学)

报告时间 (Time):2024年1月17日(周三) 17:00-18:00

报告地点 (Place):校本部GJ303

邀请人(Inviter):席东盟、李晋、张德凯,吴加勇

主办部门:古天乐代言太阳集团数学系

报告摘要: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

上一条:数学学科Seminar第2629讲 对偶四元数拉普拉斯矩阵与编队控制

下一条:古天乐代言太阳集团核心数学研究所——几何与分析综合报告第66讲 Finsler几何中的一个新量