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Complex Monge-Ampère equation in strictly pseudoconvex domains

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Publication:1987349
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DOI10.1007/s40306-018-00313-2zbMath1436.32105arXiv1808.07264OpenAlexW2888074686MaRDI QIDQ1987349

Thai Duong Do, Hoang-Son Do, Phạm Hoàng Hiệp

Publication date: 14 April 2020

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07264


zbMATH Keywords

Monge-Ampère equationpseudoconvex domainshyperconvex domains


Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) General pluripotential theory (32U15) Strongly pseudoconvex domains (32T15)




Cites Work

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  • Monge-Ampère measures on pluripolar sets
  • Rolf Nevanlinna in memoriam
  • The Dirichlet problem for a complex Monge-Ampère equation
  • Pluricomplex energy
  • The complex Monge-Ampère equation
  • Complex geometry. An introduction
  • The general definition of the complex Monge-Ampère operator.
  • A Dirichlet problem for the complex Monge-Ampère operator in \(\mathcal F(f)\)
  • A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
  • The domain of definition of the complex Monge-Ampere operator
  • The complex Monge-Ampère equation and pluripotential theory
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