Some new estimates for the complex Monge-Ampère equation
- 28 Downloads
In this paper, we consider the complex Monge-Ampère equation posed on a compact Kahler manifold. We show how to get Lp (p < ∞) and L∞ estimates for the gradient of the solution in terms of the continuity of the right-hand side.
Keywordscomplex Monge-Ampère equations gradient estimates Kähler manifold
This work was supported by National Science Foundation of USA (Grant No. DMS-1914719).