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A Remark on the Continuous Subsolution Problem for the Complex Monge-Ampère Equation
Sławomir Kołodziej
,
Ngoc Cuong Nguyen
Abstract
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 the continuous solution. The modulus of continuity of the solution also given if the right hand side is locally dominated by capacity.