The Dirichlet Problem

Paul M. Gauthier
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Paul M. Gauthier: Université de Montréal, Départment de Mathématiques et de Statistique

Chapter Chapter 9 in Lectures on Several Complex Variables, 2014, pp 51-52 from Springer

Abstract: Abstract The natural Dirichlet problem in C n is not the classical one for solutions of the Laplace equation but rather for solutions of the Monge–Ampère equation. We present the solution of this Dirichlet problem in a ball.

Keywords: Dirichlet Problem; Pluriharmonic Functions; Perron Method; Harmonic Solution; Subharmonic Functions (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11511-5_9

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DOI: 10.1007/978-3-319-11511-5_9

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