54 citations · 342 across the 40 of their papers we have counts for
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Weak solutions to Monge-Ampère type equations on compact Hermitian manifold with boundary
Slawomir Kolodziej, Ngoc Cuong Nguyen
We prove the bounded subsolution theorem for the complex Monge-Ampère type equation, with the right hand side being a positive Radon measure, on a compact Hermitian manifold with b…
The Dirichlet problem for the Monge-Ampère equation on Hermitian manifolds with boundary
Slawomir Kolodziej, Ngoc Cuong Nguyen
We study weak quasi-plurisubharmonic solutions to the Dirichlet problem for the complex Monge-Amère equation on a general Hermitian manifold with non-empty boundary. We prove optim…
The Dirichlet problem for a complex Hessian equation on compact Hermitian manifolds with boundary
Dongwei Gu, Ngoc Cuong Nguyen
We solve the classical Dirichlet problem for a general complex Hessian equation on a small ball in $\bC^n$. Then, we show that there is a continuous solution, in pluripotential the…
The complex Monge-Ampère type equation on compact Hermitian manifolds and Applications
Ngoc Cuong Nguyen
We prove the existence and uniqueness of continuous solutions to the complex Monge-Ampère type equation with the right hand side in , , on compact Hermitian manifolds. Ne…
Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds
Slawomir Kolodziej, Ngoc Cuong Nguyen
We prove stability of solutions of the complex Monge-Ampère equation on compact Hermitian manifolds, when the right hand side varies in a bounded set in and it is bounde…