The degenerate complex monge-ampere equation on thin annuli

DOI10.1080/03605308608820461zbMath0611.35011OpenAlexW2015185734MaRDI QIDQ3751945

Roberto Moriyón

Publication date: 1986

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308608820461

zbMATH Keywords

regularityDirichlet problemdegenerate complex Monge-Ampère equationplurisubharmonictubular neighbourhoodsstrictly pseudoconvex boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for nonlinear higher-order PDEs (35G30) Boundary value problems for linear first-order PDEs (35F15) Plurisubharmonic functions and generalizations (32U05)

Related Items (2)

Comparison principles for weak solutions of monge–ampere equations ⋮ Stability of envelopes of holomorphy and the degenerate Monge-Ampère equation

Cites Work

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• Solving the degenerate complex Monge-Ampère equation with one concentrated singularity
• Stability of envelopes of holomorphy and the degenerate Monge-Ampère equation
• The Dirichlet problem for a complex Monge-Ampère equation
• Counterexamples to regularity for the complex Monge-Ampère equation
• Variational properties of the complex Monge-Ampère equation. I: Dirichlet principle
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• Variational Properties of the Complex Monge-Ampere Equation. II. Intrinsic Norms
• Regularity of the dirichlet problem for the degenerate complex Monge-Ampère equation
• The inverse function theorem of Nash and Moser
• Generalized implicit function theorems with applications to some small divisor problems, I

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