Counterexamples to regularity for the complex Monge-Ampère equation

DOI10.1007/BF01390286zbMath0393.35010OpenAlexW1998202084WikidataQ124937120 ScholiaQ124937120MaRDI QIDQ1252462

Eric Bedford, John-Erik Fornaess

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142610

zbMATH Keywords

Complex Monge-Ampere EquationCounterexamples To RegularityPlurisubharmonic FunctionStrongly Pseudoconvex Domain with Smooth Boundary

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

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• Subharmonicity for uniform algebras
• Variational properties of the complex Monge-Ampère equation. I: Dirichlet principle
• On a Generalized Dirichlet Problem for Plurisubharmonic Functions and Pseudo-Convex Domains. Characterization of Silov Boundaries
• Variational Properties of the Complex Monge-Ampere Equation. II. Intrinsic Norms
• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
• Foliations and complex monge-ampère equations
• Calabi's conjecture and some new results in algebraic geometry

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