Entire solutions to the Monge-Ampère equation

DOI10.1016/j.jmaa.2009.09.014zbMath1185.35114OpenAlexW2008423143MaRDI QIDQ1046512

Saoussen Kallel-Jallouli, Lamia Bel Kenani Toukabri

Publication date: 22 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.09.014

zbMATH Keywords

Monge-Ampère equationentire solutionsubsolution

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Positive solutions to PDEs (35B09) Monge-Ampère equations (35J96)

Cites Work

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• Boundary-value problems on \(S^ n\) for surfaces of constant Gauss curvature
• The Monge-Ampère equation with infinite boundary value
• Invariant criteria for existence of bounded positive solutions
• Hypersurfaces of prescribed Gauß curvature in exterior domains
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
• The Dirichlet problem for Monge-Ampère equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature
• The Bieberbach-Rademacher problem for the Monge-Ampère operator

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