Boundary behaviour of solutions of the non-parametric least area problem

DOI10.1017/S0004972700005566zbMath0499.49023MaRDI QIDQ3965187

Leon Simon

Publication date: 1982

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

boundary behaviournon-parametric least area problem

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60)

Related Items

Global regularity for solutions of the minimal surface equation with continuous boundary values, Solutions of the minimal surface equation continuous and discontinuous at the boundary, Boundary regularity for Quasi—Linear elliptic equations with continuous boundary data, Existence and Nonexistence of Radial Limits of Minimal Surfaces, On the Dirichlet problem for minimal graphs in hyperbolic space, On the Dirichlet problem of prescribed mean curvature equations without H-convexity condition

Cites Work

• Global estimates of Hölder continuity for a class of divergente-form elliptic equations
• Boundary regularity for solutions of the non-parametric least area problem
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
• Superfici cartesiane di area minima
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