A note on \(\mu\)-stable surfaces with prescribed constant mean curvature

DOI10.4171/ZAA/1155zbMath1058.53004MaRDI QIDQ1876026

Steffen Fröhlich

Publication date: 6 September 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

surfacestabilityEuclidean spaceconstant mean curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Cites Work

• Unnamed Item
• Stability of minimal surfaces and eigenvalues of the Laplacian
• A priori estimates of the principal curvatures for immersions of prescribed mean curvature and theorems of Bernstein-type
• Ein Eindeutigkeitssatz für Flächen konstanter mittlerer Krümmung
• Stable constant mean curvature surfaces minimize area
• Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals
• New estimates for equations of minimal surface type
• On equations of minimal surface type
• Minimal surfaces of finite index in manifolds of positive scalar curvature
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature

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