A priori estimates of the principal curvatures for immersions of prescribed mean curvature and theorems of Bernstein-type

DOI10.1007/BF02571263zbMath0722.53006OpenAlexW1996505277MaRDI QIDQ756142

Friedrich Sauvigny

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174195

zbMATH Keywords

estimatescurvatureprescribed mean curvatureBernstein theorems

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (4)

A note on \(\mu\)-stable surfaces with prescribed constant mean curvature ⋮ Curvature estimates for immersions of minimal surface type via uniformization and theorems of Bernstein type ⋮ On immersions of constant mean curvature: Compactness results and finiteness theorems for Plateau's problem ⋮ On two-dimensional immersions that are stable for parametric functionals of constant mean curvature type

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