Some fully nonlinear degenerate elliptic equations on Hermitian manifolds
摘要. We consider fully nonlinear elliptic equations on complex manifolds, some of which arise from complex geometry. We are concerned with deriving a priori estimates for such equations and present recent results on a special class of equations which may be degenerate and involve gradient terms. The talk is based on joint work with Xiaolan Nie,Chunhui Qiu and Rirong Ruan.