International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 11, Pages 705-707

Continuous and Lp estimates for the complex Monge-Ampère equation on bounded domains in n

Patrick W. Darko

Department of Mathematics and Computer Science, Lincoln University, PA 19352, USA

Received 3 November 2001

Copyright © 2002 Patrick W. Darko. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Continuous solutions with continuous data and Lp solutions with Lp data are obtained for the complex Monge-Ampère equation on bounded domains, without requiring any smoothness of the domains.