A new uniqueness theorem for minimal surfaces

DOI10.1007/BF00247466zbMath0285.49001OpenAlexW2018171972MaRDI QIDQ1845372

Johannes C. C. Nitsche

Publication date: 1973

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00247466

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

A survey of the geometric results in the classical theory of minimal surfaces, Uniqueness of minimal surfaces in Euclidean and hyperbolic 3-space, Geometric analysis and estimation of the growth rate gradient on gastropod shells, Some strange properties of minimal surfaces in connection with Plateau's problem, The uniqueness for minimal surfaces in \(S^ 3\), Ein Eindeutigkeitssatz für Flächen konstanter mittlerer Krümmung, Generic uniqueness for the Plateau problem, Simulation of a Soap Film Möbius Strip Transformation, Flächen vorgeschriebener mittlerer Krümmung mit eineindeutiger Projektion auf eine Ebene, The existence of embedded minimal surfaces and the problem of uniqueness, Closed strong spacelike curves, Fenchel theorem and plateau problem in the 3-dimensional Minkowski space, Uniqueness of area minimizing surfaces for extreme curves, Almost every curve in \(R^3\) bounds a unique area minimizing surface, Truss structure design using a length-oriented surface remeshing technique, Stability of minimal surfaces and eigenvalues of the Laplacian, On the Morse number of embedded and non-embedded minimal immersions spanning wires on the boundary of special bodies in \({\mathbb{R}}^ 3\), The classical theory of minimal surfaces, A sufficient condition for a critical point of a functional to be a minimum and its application to Plateau's problem, Maximum properties of affine minimal hypersurfaces, Boundary configurations spanning continua of minimal surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the local uniqueness of the problem of least area
• Zur Struktur der Lösungsmenge des Plateauproblems
• Contours bounding at least three solutions of Plateau's problem
• Concerning the isolated character of solutions of Plateau's problem
• The boundary behavior of minimal surfaces. Kellogg's theorem and branch points on the boundary
• The Plateau problem for non-relative minima
• On new results in the theory of minimal surfaces
• On the Boundary Behavior of Minimal Surfaces