A note on two-dimensional minimal surface graphs in R^n and a theorem of Bernstein-Liouville type

Details A note on two-dimensional minimal surface graphs in R^n and a theorem of Bernstein-Liouville type A note on two-dimensional minimal surface graphs in R^n and a theorem of Bernstein-Liouville type

2005-06-29

arxiv.org/abs/math/0506587v1

Mathematics

Differential Geometry

Scientific paper

Using Schauder's theory for linear elliptic partial differential equations in
two independent variables and fundamental estimates for univalent mappings due
to E. Heinz we establish an upper bound of the Gaussian curvature of
two-dimensional minimal surface graphs in R^n. This leads us to a theorem of
Bernstein-Liouville type.

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