Boundary Regularity for Degenerate-Singular Monge-Amp\`ere Equations

讲座时间 Datetime: 

星期四, 2018/11/15 - 从 16:00 到 17:30

地点 Venue: 

海滨红楼6号楼1楼会议室

报告人 Speaker: 

简怀玉 教授

单位 Affiliation: 

清华大学

报告摘要 Abstract: 

In 1977, Cheng and Yau studied a class of Monge-Amp\`ere Equations from affine geometry which may be singular or degenerate on the boundary. They obtained the existence, uniqueness and interior regularity for the solution. In this talk, we will discuss the boundary regularity for the solution as well as for smoothness of the boundary of the affine hyperbolic sphere. As a by-product of the regularity, we improve the result of the existence.