Global continuity estimates for two dimensional graphs of prescribed Gauss curvature

DOI10.1007/S00229-004-0487-4zbMath1130.35342OpenAlexW2144654029MaRDI QIDQ704814

John I. E. Urbas

Publication date: 19 January 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-004-0487-4

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Cites Work

• Regularized distance and its applications
• Global Hölder estimates for equations of Monge-Ampère type
• Intermediate Schauder estimates
• Regularity theory for quasilinear elliptic systems and Monge-Ampère equations in two dimensions
• Quelques remarques sur les problèmes elliptiques quasilinéaires du second ordre. (Some remarks on second order quasilinear elliptic problems)
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation

This page was built for publication: Global continuity estimates for two dimensional graphs of prescribed Gauss curvature