Existence of local sufficiently smooth solutions to the complex Monge-Ampère equation

DOI10.1090/S0002-9947-03-03399-3zbMath1078.32025MaRDI QIDQ4813804

Saoussen Kallel-Jallouli

Publication date: 13 August 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Monge-Ampère equation

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20)

Cites Work

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• The local isometric embedding in \(R^ 3\) of 2-dimensional Riemannian manifolds with nonnegative curvature
• Existence of \(C^{\infty}\) local solutions for the Monge-Ampère equation
• The Dirichlet problem for a complex Monge-Ampère equation
• A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Smoothness up to the Boundary for Solutions of the Nonlinear and Nonelliptic Dirichlet Problem
• Local Smooth Isometric Embeddings of Low Dimensional Riemannian Manifolds into Euclidean Spaces
• Existence of $C^\{\infty \}$ local solutions of the complex Monge-Ampère equation

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