Continuity of minimal surfaces with piecewise smooth free boundaries

DOI10.1007/BF01456989zbMath0596.53006OpenAlexW2114719697MaRDI QIDQ1078814

Juergen Jost

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/164224

zbMATH Keywords

minimal surfacefree boundarybounded geometrycontinuity up to the boundary

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Free boundary problems for PDEs (35R35)

Related Items (2)

Embedded minimal disks with a free boundary on a polyhedron in \({\mathbb R}^ 3\) ⋮ Regularity at the free boundary of two-dimensional stationary harmonic maps

Cites Work

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• Harmonic maps between surfaces (with a special chapter on conformal mappings)
• \(C^ 2\)-regularity for partially free minimal surfaces
• On the regularity of minimal surfaces with free boundaries in Riemannian manifolds
• Minimal surfaces with free boundaries
• Optimal boundary regularity for minimal surfaces with a free boundary
• Über die Stetigkeit teilweise freier Minimalflächen
• On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area
• Riemannsche Geometrie im Großen. 2. Aufl
• On the first variation of a varifold: Boundary behavior
• A uniqueness theorem for surfaces of least area with partially free boundaries on obstacles
• On the first variation of a varifold
• Regularity of weak H-surfaces.
• Boundary regularlty for solutions to various capillarity and free boundary problems
• Behavior of minimal surfaces with free boundaries
• On the Boundary Behavior of Minimal Surfaces

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