Title：Regularity of fully non-linear elliptic equations on Hermitian manifolds

Speaker：袁日荣  （中山大学-珠海分校） 

Time：2019年4月17日      上午 9:00-11:00

Room：东区管理科研楼  数学科学学院1418室

Abstract：In this talk, we will investigate the solvability and regularity of Dirichlet problem for a class of (degenerate or non-degenerate) fully non-linear elliptic equations under suitable assumptions. Some new features of the regularity assumptions on boundary and boundary data are also discussed. As an application, we can apply Qun Li’s constant rank theorem to study the solvability of Dirichlet problem for homogeneous complex Monge-Amp/`ere equation on certain K/”ahler manifolds.