Eine globalanalytische Behandlung des Douglas'schen Problems. (A global analysis treatment of the Douglas problem)

DOI10.1007/BF01169007zbMath0606.58047OpenAlexW1252912079WikidataQ122803063 ScholiaQ122803063MaRDI QIDQ1084732

Karl-Heinz Schüffler

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/155025

zbMATH Keywords

Teichmüller spaceminimal surfacesFredholm operatorindex theoremDouglas problemisolatedness and stabilityvariation of the conformal type

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Index theory and related fixed-point theorems on manifolds (58J20) Harmonic functions on Riemann surfaces (30F15) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Deformations of complex structures (32G05)

Related Items (6)

Function theory and index for minimal surfaces of genus 1. I: Fredholm bundles of holomorphic functions on punched tori ⋮ Function theory and index theory for minimal surfaces of genus 1. II. Manifold structures for double periodic minimal surfaces ⋮ Function theory and index theory for minimal surfaces of genus 1. III: The index theorem for minimal surfaces of genus 1 ⋮ Minimal annuli in Riemannian manifolds ⋮ An a priori estimate for Douglas problem in Riemannian manifolds ⋮ Zur Fredholmtheorie des Riemann-Hilbert-Operators. (Fredholm theory of the Riemann-Hilbert operator)

Cites Work

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• Plateau's problem for surfaces of constant mean curvature from a global point of view
• Jacobifelder zu Flächen konstanter mittlerer Krümmung
• Stabilität mehrfach zusammenhängender Minimalflächen
• The index theorem for classical minimal surfaces
• Isoliertheit und Stabilität von Flächen konstanter mittlerer Krümmung
• Über Stabilität und Isoliertheit der Lösungen des klassischen Plateauproblems
• On the structure of the set of curves bounding minimal surfaces of prescribed degeneracy.
• On the number of simply connected minimal surfaces spanning a curve

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