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On two-dimensional immersions of prescribed mean curvature in R^n

Matthias Bergner·Steffen Froehlich
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Abstract

We consider two-dimensional immersions of disc-type in R^n. We focus well known classical concepts and study the nonlinear elliptic systems of such mappings. Using an Osserman-type condition we give a priori-estimates of the principle curvatures for certain graphs in R^4 with prescribed mean curvature.

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Matthias Bergner, Steffen Froehlich. 2005-04-05. On two-dimensional immersions of prescribed mean curvature in R^n. https://arxiv.org/abs/math/0504079

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