A Note on Complex Monge-Ampère Equation in Stein Manifolds

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.

Keywords

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

2010 Mathematics Subject Classification

35J25, 58J32

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Published 1 January 2008