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Zeitschrift für Analysis und ihre Anwendungen


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Volume 22, Issue 2, 2003, pp. 455–462
DOI: 10.4171/ZAA/1155

Published online: 2003-06-30

A Note on μ-Stable Surfaces with Prescribed Constant Mean Curvature

Steffen Fröhlich[1]

(1) TU Berlin, Germany

Using a generalized stability condition we give an upper bound of the principle curvatures of certain constant mean curvature surfaces. This implies a theorem of Bernstein type.

Keywords: Bernstein theorems, curvature estimates, prescribed mean curvature

Fröhlich Steffen: A Note on μ-Stable Surfaces with Prescribed Constant Mean Curvature. Z. Anal. Anwend. 22 (2003), 455-462. doi: 10.4171/ZAA/1155