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Area estimates for two-dimensional immersions of mean curvature type in Euclidean spaces of higher codimension

Steffen Froehlich
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Abstract

We establish area bounds for two-dimensional immersions in R^3 and R^n. Namely, for μ-stable immersions in R^3 (R^n), for graphs in $\mathbb R^3$ which solve quasilinear equations in divergence form, and for graphs which are critical for Fermat-type variational problems in R^n.

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Steffen Froehlich. 2007-03-12. Area estimates for two-dimensional immersions of mean curvature type in Euclidean spaces of higher codimension. https://arxiv.org/abs/math/0703327

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