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

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.

References in corpus (1)

• mu-Stability of 2-immersions of prescribed mean curvature and flat normal bundle in Euclidean spaces of higher codimension