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

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

2005-04-05

arxiv.org/abs/math/0504079v1

Mathematics

Differential Geometry

12 pages

Scientific paper

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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