Sur l'existence et la régularité de solutions radiales pour des équations de type Monge-Ampère complexe. (Existence and regularity of radial solutions for complex equations of Monge-Ampère type)

DOI10.1007/BF01474179zbMath0655.35024MaRDI QIDQ1109219

Makhlouf Derridj

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164349

zbMATH Keywords

smoothregularityexistenceradial solutionshomogeneous Dirichlet problemcomplex Monge-Ampère equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

Local Gevrey and quasi-analytic hypoellipticity for □_{𝑏} ⋮ Smoothness of radial solutions to Monge-Ampère equations ⋮ Radial symmetric solution of complex Hessian equation in the unit ball ⋮ Sur l'existence de solutions \(C^{1,1/n}\), \(C^{1,1}\) et \(C^ 2\), radiales pour des équations de type Monge-Ampère complexe dans la boule unité de \({\mathbb{C}}^ n\). (On the existence of \(C^{1,1/n}\), \(C^{1,1}\) and \(C^ 2\) solutions of complex Monge-Ampère equations in the unit ball in \({\mathbb{C}}^ n)\)

Cites Work

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• Solving the degenerate complex Monge-Ampère equation with one concentrated singularity
• Regularity of the complex Monge-Ampère equation for radially symmetric functions of the unit ball
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations

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