Existence of $C^\{\infty \}$ local solutions of the complex Monge-Ampère equation

DOI10.1090/S0002-9939-02-06820-XzbMath1195.35148OpenAlexW1556861276MaRDI QIDQ4787495

Saoussen Kallel-Jallouli

Publication date: 7 January 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06820-x

zbMATH Keywords

complex Monge-Ampère equationreal principal type symbol

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Degenerate elliptic equations (35J70) Semilinear elliptic equations (35J61) Matrix and operator functional equations (39B42)

Related Items (1)

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

Cites Work

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• Local Smooth Isometric Embeddings of Low Dimensional Riemannian Manifolds into Euclidean Spaces
• On the existence and regularity of hypersurfaces of prescribed Gauss curvature with boundary
• Local isometric embedding of two dimensional Riemannian manifolds into \(R^ 3\) with nonpositive Gaussian curvature

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