Stabilität mehrfach zusammenhängender Minimalflächen

DOI10.1007/BF01300967zbMath0426.53005OpenAlexW2914057012WikidataQ122803086 ScholiaQ122803086MaRDI QIDQ1136094

Karl-Heinz Schüffler

Publication date: 1979

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

Full work available at URL: https://eudml.org/doc/154679

zbMATH Keywords

minimal surfacesPlateau's problem

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Spaces of embeddings and immersions (58D10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

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, Eine globalanalytische Behandlung des Douglas'schen Problems. (A global analysis treatment of the Douglas problem), Ein Indexsatz für Flächen konstanter mittlerer Krümmung, Isoliertheit und Stabilität von Flächen konstanter mittlerer Krümmung, Plateau's problem for surfaces of constant mean curvature from a global point of view, Minimalflächen mit polygonalem Rand, Jacobifelder zu Flächen konstanter mittlerer Krümmung, The index theorem for \(k\)-fold connected minimal surfaces

Cites Work

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• Über Stabilität und Isoliertheit der Lösungen des klassischen Plateauproblems
• Zur Struktur der Lösungsmenge des Plateauproblems
• Boundary behavior of minimal surfaces
• Continuous dependence of eigenvalues on the domain