2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226773The Dirichlet problem for a Monge-Ampere equation corresponding to a nonnegative, possible degenerate cohomology class on a Kaehler 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 Kaehler potentials are constructed for each test configurationDifferential GeometryComplex Variablestext