Abstract
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].
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© 2012 Springer-Verlag Berlin Heidelberg
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Guedj, V., Zeriahi, A. (2012). Dirichlet Problem in Domains of ℂn . In: Guedj, V. (eds) Complex Monge–Ampère Equations and Geodesics in the Space of Kähler Metrics. Lecture Notes in Mathematics(), vol 2038. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23669-3_2
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DOI: https://doi.org/10.1007/978-3-642-23669-3_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23668-6
Online ISBN: 978-3-642-23669-3
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