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On embedded minimal surfaces

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Publication:1234084
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DOI10.2307/1971009zbMath0347.49033OpenAlexW1967867991MaRDI QIDQ1234084

Robert Gulliver, Joel Spruck

Publication date: 1976

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971009


Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Existence theories for optimal control problems involving partial differential equations (49J20)


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Embedded plateau problem, A survey of the geometric results in the classical theory of minimal surfaces, Uniqueness of minimal surfaces in Euclidean and hyperbolic 3-space, Embedded minimal annuli solving an exterior problem, Existence of embedded minimal disks, Plateau's problem for H-convex curves, The existence of embedded minimal surfaces and the problem of uniqueness, Extreme curves bound embedded minimal surfaces of the type of the disc, Plateau's problem for embedded minimal surfaces of the type of the disc, Unnamed Item, Plateau’s problem for infinite contours, Unnamed Item, The index theorem for \(k\)-fold connected minimal surfaces



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