Asian Journal of Mathematics

Volume 12 (2008)

Number 1

A Note on Complex Monge-Ampère Equation in Stein Manifolds

Pages: 73 – 82



Alireza Bahraini


We study in this note the Dirichlet problem for complex Monge-Ampère equation in compact Stein manifolds with boundary. As far as we know among the global results for Monge- Ampère equations, compact manifolds with boundary have been less discussed.


Monge-Ampère equation, Stein manifold, Continuity method, Pluri-subharmonic functions

2010 Mathematics Subject Classification

35J25, 58J32

Published 1 January 2008