On the regularity of minimal surfaces with free boundaries in Riemannian manifolds

DOI10.1007/BF01180769zbMath0601.49028OpenAlexW2170395545WikidataQ115393952 ScholiaQ115393952MaRDI QIDQ1081111

Juergen Jost

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/155171

zbMATH Keywords

regularityRiemannian manifoldfree boundarystationary minimal surfaces

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) Global Riemannian geometry, including pinching (53C20) Free boundary problems for PDEs (35R35)

Related Items (5)

Continuity of minimal surfaces with piecewise smooth free boundaries ⋮ Free boundary problems for minimal surfaces and related questions ⋮ Regularity at the free boundary of two-dimensional stationary harmonic maps ⋮ Unnamed Item ⋮ Index estimates for free boundary minimal hypersurfaces

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
• Über die Stetigkeit teilweise freier Minimalflächen
• On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area
• Geometrische Methoden zur Gewinnung von a-priori-Schranken für harmonische Abbildungen
• Regularity of weak H-surfaces.

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