On the existence of solutions to a bi-planar Monge-Ampère equation

DOI10.1007/s10473-020-0206-6zbMath1499.35254OpenAlexW3017258250MaRDI QIDQ2153143

Marcel Oliver, Ibrokhimbek Akramov

Publication date: 1 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-020-0206-6

zbMATH Keywords

generalized solutionfully nonlinear elliptic equationsbi-planar convexity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Generalized solutions to partial differential equations (35D99) Monge-Ampère equations (35J96)

Related Items (1)

A subsolution theorem for the Monge-Ampère equation over an almost Hermitian manifold

Cites Work

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• Sur les équations de Monge-Ampère. (About the Monge-Ampère equations)
• A generalised comparison principle for the Monge-Ampère equation and the pressure in 2D fluid flows
• Sur les équations de Monge-Ampère. I
• Generalized large-scale semigeostrophic approximations for thef-plane primitive equations
• Large-scale semigeostrophic equations for use in ocean circulation models
• The Monge-Ampère equation

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