Über die endliche Loesbarkeit des Plateau-Problems in Riemannschen Mannigfaltigkeiten

DOI10.1007/BF01165795zbMath0495.53006MaRDI QIDQ1169691

Norbert Quien

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/154891

zbMATH Keywords

Plateau's problemabsolute minimum of areaweakly stable minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (3)

On immersions of constant mean curvature: Compactness results and finiteness theorems for Plateau's problem ⋮ On finiteness of the number of stable minimal hypersurfaces with a fixed boundary ⋮ Boundary configurations spanning continua of minimal surfaces

Cites Work

• On isolated singularities of solutions of second order elliptic differential equations
• An existence theorem for harmonic mappings of Riemannian manifolds
• On the local uniqueness of the problem of least area
• Zur Struktur der Lösungsmenge des Plateauproblems
• Minimal varieties in Riemannian manifolds
• Regularity of minimizing surfaces of prescribed mean curvature
• On boundary branch points of minimizing surfaces
• Some remarks on minimal surfaces in riemannian manifolds
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