TY - JOUR
AU - Zhang, Zhou
AB - In this short paper, we study complex Monge-Ampère equations over closed Kähler manifolds. The generalization from classic case is that the cohomology class can be no longer Kähler. The center of the argument is to derive a priori L∞ estimate for the solution. With some help from a classic result in several complex variables, we can prove the continuity of the solution for the most interesting case. Our proof makes use of pluripotential theory and is a quite direct generalization of the works of S. Kolodziej.
TI - On degenerate Monge-Ampère equations over closed Kähler manifolds
JF - International Mathematics Research Notices
DO - 10.1155/IMRN/2006/63640
DA - 2006-01-01
UR - https://www.deepdyve.com/lp/oxford-university-press/on-degenerate-monge-amp-re-equations-over-closed-k-hler-manifolds-fy2dEyAx0l
VL - 2006
IS - 
DP - DeepDyve
ER -