Comparison principles for weak solutions of monge–ampere equations

DOI10.1080/03605309908820722zbMath0723.35004OpenAlexW1987067261MaRDI QIDQ3211666

Lijiang Lu

Publication date: 1990

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908820722

zbMATH Keywords

Monge-Ampère equationcomparison principlesconvex weak solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (2)

Monge-Ampère equations on the nonstrict convex domains ⋮ Nontrivial solutions for Monge-Ampère type operators in convex domains

Cites Work

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• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Two remarks on Monge-Ampère equations
• Equations de Monge-Ampère réelles
• Sur les équations de Monge-Ampère. I
• The Dirichlet problem for the equation of prescribed Gauss curvature
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• The degenerate complex monge-ampere equation on thin annuli
• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)

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