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.
Department of Mathematics, Princeton University, Princeton, New Jersey 08540.
R
R
Moriyon