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Complex Monge-Amp{è}re equations on Hermitian Manifolds: From bounded to smooth solutions
We study regularity of bounded weak solutions to complex Monge-Amp{è}re equations on compact Hermitian manifolds with right-hand side possibly decreasing in the unknown. Our proof relies on the domination principle and a priori estimates, partially motivated by the Monge-Amp{è}re eigenvalue problem.
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