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A Note on Complex Monge-Ampère Equation in Stein Manifolds

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.