scientific article

zbMath0417.49051MaRDI QIDQ3207672

Frederick J. jun. Almgren, Leon Simon

Publication date: 1979

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1979_4_6_3_447_0

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zbMATH Keywords

minimal surfacevarifoldPlateau's problemembedded solutions

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20)

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Embedded plateau problem ⋮ A survey of the geometric results in the classical theory of minimal surfaces ⋮ Embedded minimal annuli solving an exterior problem ⋮ The characteristic toric splitting of irreducible compact 3-orbifolds ⋮ Compactness and Rigidity of λ-Surfaces ⋮ Existence of embedded minimal disks ⋮ Plateau's problem for H-convex curves ⋮ Unstable minimal surfaces and Heegaard splittings ⋮ Inverse mean curvature flow of rotationally symmetric hypersurfaces ⋮ The \(n\)-dimensional least area problem for boundaries on a convex cone ⋮ The existence of embedded minimal surfaces and the problem of uniqueness ⋮ Plateau's problem for embedded minimal surfaces of the type of the disc ⋮ Unnamed Item ⋮ On embedded minimal disks in convex bodies ⋮ The mathematics of F. J. Almgren, jun ⋮ A General Existence Theorem for Embedded Minimal Surfaces with Free Boundary ⋮ The Plateau-Douglas problem for nonorientable minimal surfaces ⋮ Counting minimal surfaces in quasi-Fuchsian three-manifolds ⋮ Free boundary constant mean curvature surfaces in a strictly convex three-manifold

Cites Work

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• On the first variation of a varifold
• Verzweigungspunkte von H-Flächen. I
• Verzweigungspunkte von H-Flächen. II
• A Theory of Branched Immersions of Surfaces
• Existence and regularity of minimal surfaces on Riemannian manifolds
• Solution of the Problem of Plateau

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