Interior $W^{2,p}$ estimate for small perturbations to the complex Monge-Ampere equation

Jingrui Cheng, Yulun Xu

Let $w_0$ be a bounded, $C^3$, strictly plurisubharmonic function defined on $B_1\subset {\mathbb{C}}^n$. Then $w_0$ has a neighborhood in $L^{\infty }(B_1)$ with the following proper…