\(C^ 2\)-regularity for partially free minimal surfaces

DOI10.1007/BF01246945zbMath0564.49024MaRDI QIDQ1058130

Gerhard Dziuk

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173568

zbMATH Keywords

admissable supporting surfacestationary minimal surface

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

Continuity of minimal surfaces with piecewise smooth free boundaries, On the regularity of minimal surfaces with free boundaries in Riemannian manifolds, The existence of surfaces of constant mean curvature with free boundaries, Regularity at the free boundary of two-dimensional stationary harmonic maps, On the regularity of H-surfaces with free boundaries on a smooth support manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Über die Stetigkeit teilweise freier Minimalflächen
• On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area
• Linear and quasilinear elliptic equations
• Zum Randverhalten der Lösungen gewisser zweidimensionaler Variationsprobleme mit freien Randbedingungen
• Minimal surfaces with partially free boundary. Least area property and Hölder continuity for boundaries satisfying a chord-arc condition
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Regularity of weak H-surfaces.
• Elliptic Partial Differential Equations of Second Order
• Behavior of minimal surfaces with free boundaries