摘要：

We consider the  µ-σ_2 equation, proposed by Professor Ma, which is a natural generalization of σ_2 equation. Using the new idea from the remarkable work of Shankar and Yuan,  we establish interior Hessian estimates for convex solutions in R^2 and for the ω-plurisubharmonic solutions on Kähler surface. In addition, on Kähler surface, we also derive the interior gradient estimate based on the approach of Z. Blocki .  The talk is based on joint work with Li Ma and Li Sheng.