带梯度项的广义复Monge-Ampère型方程的梯度估计

Gradient Estimates for Generalized Complex Monge-Ampère-type Equations with Gradient Terms

利用Bernstein方法建立了Hermitian流形上带有梯度项的广义复Monge-Ampère型方程的梯度的先验估计.广义复Monge-Ampère型方程的结构在证明中发挥了重要作用.

We apply Bernstein method to derive the a priori gradient estimates for generalized complex Monge Amp6re type equa tions involving gradient terms on compact Hermitian manifolds. Structural conditions of such generalized complex Monge Ampere type equations play some crucial roles.