Solutions of the minimal surface equation continuous and discontinuous at the boundary

DOI10.1080/03605308608820469zbMath0605.49030OpenAlexW2003742579MaRDI QIDQ3743953

Graham H. Williams

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/03605308608820469

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)

Related Items (3)

Global regularity for solutions of the minimal surface equation with continuous boundary values ⋮ On the Dirichlet problem of prescribed mean curvature equations without H-convexity condition ⋮ MINIMAL GRAPHS WITH DISCONTINUOUS BOUNDARY VALUES

Cites Work

• Global regularity for solutions of the minimal surface equation with continuous boundary values
• Boundary regularity for solutions of the non-parametric least area problem
• Extremal barriers on cones with Phragmén-Lindelöf theorems and other applications
• Boundary behaviour of solutions of the non-parametric least area problem
• Superfici cartesiane di area minima

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