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arxiv: math/0702179 · v1 · submitted 2007-02-07 · 🧮 math.CV

The Bremermann-Dirichlet problem for unbounded domains of C^n

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keywords functionunboundedbremermann-dirichletcontinuousdefineddomaindomainsexistence
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Given an unbounded strongly pseudoconvex domain D and a continuous real valued function h defined on bD, we study the existence of a (maximal) plurisubharmonic function u on D such that u=h on bD.

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