On the behavior of strictly plurisubharmonic functions near real hypersurfaces

DOI10.1007/s11512-006-0029-2zbMath1148.32014OpenAlexW2081060070MaRDI QIDQ942015

Björn Ivarsson

Publication date: 3 September 2008

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-006-0029-2

zbMATH Keywords

plurisubharmonic functionsLipschitz continuitycomplex curvesreal hypersurfacesMonge-Ampére mass

Mathematics Subject Classification ID

General pluripotential theory (32U15) Plurisubharmonic exhaustion functions (32U10)

Cites Work

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• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Counterexamples to regularity for the complex Monge-Ampère equation
• Interior regularity of solutions to a complex Monge-Ampère equation
• Interior regularity of the complex Monge-Ampère equation in convex domains
• The general definition of the complex Monge-Ampère operator.
• On the \(L^ p\) stability for the complex Monge-Ampère operator
• On a Generalized Dirichlet Problem for Plurisubharmonic Functions and Pseudo-Convex Domains. Characterization of Silov Boundaries
• A C2-estimate for solutions of complex Monge-Ampère equations.
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations

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