The Dirichlet problem for modified complex Monge-Ampère equations

DOI10.1006/jfan.1997.3240zbMath0915.35003OpenAlexW2050035546MaRDI QIDQ1270239

Abdellah Hanani, Pascal Cherrier

Publication date: 23 June 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3240

zbMATH Keywords

Hermitian manifoldsglobally smooth solutions

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Complex Monge-Ampère operators (32W20) Pseudoconvex domains (32T99)

Related Items (3)

Complex Monge-Ampère equations and totally real submanifolds ⋮ Regularity estimates of solutions to complex Monge-Ampère equations on Hermitian manifolds ⋮ Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms

Cites Work

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• Fully Nonlinear, Uniformly Elliptic Equations Under Natural Structure Conditions
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• Variational and topological methods in nonlinear problems
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• Hypersurfaces in IRⁿ⁺¹with prescribed gaussian curvature and related equations of monge—ampére type
• On the Approximation of Linear Elliptic Differential Equations by Difference Equations with Positive Coefficients

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