Monge-Ampère equations on the nonstrict convex domains

DOI10.1016/0022-0396(91)90152-YzbMath0747.35009OpenAlexW2054156270MaRDI QIDQ1176497

Lijiang Lu

Publication date: 25 June 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(91)90152-y

zbMATH Keywords

weak solutionsbounded convex domainsexistence of classical solutionsuniform parabolic support

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quelques remarques sur les problèmes elliptiques quasilinéaires du second ordre. (Some remarks on second order quasilinear elliptic problems)
• Regularity of generalized solutions of Monge-Ampère equations
• The Dirichlet problem for the equation of prescribed Gauss curvature
• Comparison principles for weak solutions of monge–ampere equations
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• The neumann problem for equations of monge-ampère type
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)

This page was built for publication: Monge-Ampère equations on the nonstrict convex domains