Remarks on a Class of Solutions to the Minimal Surface System
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We discuss a special class of solutions to the minimal surface system. These are vector-valued functions that "decrease area" and are natural generalization of scalar functions. After defining area-decreasing maps, we show several classical results for the minimal surface equation can be generalized. We also conjecture the solvability of Dirichlet problems within the category of area-decreasing maps.
Keywords
Cite
@article{arxiv.math/0303041,
title = {Remarks on a Class of Solutions to the Minimal Surface System},
author = {Mu-Tao Wang},
journal= {arXiv preprint arXiv:math/0303041},
year = {2007}
}
Comments
contribution to the Conference Proceedings of the 2002 Workshop on Geometric Evolution Equations held at the National Center for Theoretical Sciences in Hsinchu, Taiwan