Regularity of the Dirichlet problem for the complex Monge-Ampère equation.
Regularity up to the boundary of the solutions of a boundary value problem for a complex Monge-Ampère equation on perturbations of an annulus in C(n) is proven. The result can be applied to the classification of such domains.
Moriyon
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Department of Mathematics, Princeton University, Princeton, New Jersey 08540.