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The dirichlet problem for complex Monge-Ampère equations

The dirichlet problem for complex Monge-Ampère equations

In this thesis we study the regularity of solutions to the Dirichlet problem for complex Monge-Ampere equations and also for complex Hessian equations in a bounded domain of Cn. In the first chapter, we give basic facts in pluripotential theory. In the second chapter, we study the modulus of continuity …