# On the existence and regularity of Dirichlet problem for complex Monge-Ampï¿½re equationson weakly pseudoconvex domains

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Given a positive measure Î¼ on a strongly pseudoconvex domain in Cn. We study the Dirichlet problem (ddcu)n = Î¼ in a new class of plurisubharmonic function. This class includes the classes Ep (p â‰¥ 1) introduced by Cegrell in [5].

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