Calculus of Variations and Partial Differential Equations

, Volume 9, Issue 4, pp 277–296

Bernstein type theorems for higher codimension

  • J. Jost
  • Y.L. Xin
Original article

DOI: 10.1007/s005260050142

Cite this article as:
Jost, J. & Xin, Y. Calc Var (1999) 9: 277. doi:10.1007/s005260050142

Abstract.

We show a Bernstein theorem for minimal graphs of arbitrary dimension and codimension under a bound on the slope that improves previous results and is independent of the dimension and codimension. The proof depends on the regularity theory for the harmonic Gauss map and the geometry of Grassmann manifolds.

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • J. Jost
    • 1
  • Y.L. Xin
    • 2
  1. 1.Max Planck Institute for Mathematics in the Sciences, D-04103 Leipzig, Germany DE
  2. 2.Institute of Mathematics, Fudan University, Shanghai CN