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math.CV2020
Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity
Slawomir Kolodziej, Ngoc Cuong Nguyen
We prove the existence of a continuous quasi-plurisubharmonic solution to the Monge-Ampère equation on a compact Hermitian manifold for a very general measre on the right hand side…
math.CV2018
A remark on the continuous subsolution problem for the complex Monge-Ampère equation
Slawomir Kolodziej, Ngoc Cuong Nguyen
We prove that if the modulus of continuity of a plurisubharmonic subsolution satisfies a Dini type condition then the Dirichlet problem for the complex Monge-Ampère equation has th…
math.CV2018
On the Hölder continuous subsolution problem for the complex Monge-Ampère equation, II
Ngoc Cuong Nguyen
We solve the Dirichlet problem for the complex Monge-Ampère equation on a strictly pseudoconvex with the right hand side being a positive Borel measure which is dominated by the Mo…