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The Dirichlet problem for degenerate complex Monge–Ampere equations

The Dirichlet problem for degenerate complex Monge–Ampere equations

The Dirichlet problem for a Monge-Ampère equation corresponding to a non-negative, possible degenerate cohomology class on a Kähler manifold with boundary is studied.C 1,α estimates away from a divisor are obtained, by combining techniques of Blocki, Tsuji, Yau and pluripotential theory.In particular, C 1,α geodesic rays in the space of …