Dirichlet Problem in Domains of ℂn
This lecture treats the Dirichlet problem for the homogeneous complex Monge–Ampère equation in domains Ω ⊂ C n. The most important result, due to Bedford and Taylor [BT76], yields the optimal interior regularity of the solution when Ω = B is the unit ball. We provide a complete proof, following the simplifications of Demailly [Dem93].
KeywordsMaximum Principle Unit Ball Unit Disk Dirichlet Problem Pseudoconvex Domain
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