Remarks on a Class of Solutions to the Minimal Surface System
Abstract
Description
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.
contribution to the Conference Proceedings of the 2002 Workshop on Geometric Evolution Equations held at the National Center for Theoretical Sciences in Hsinchu, Taiwan
contribution to the Conference Proceedings of the 2002 Workshop on Geometric Evolution Equations held at the National Center for Theoretical Sciences in Hsinchu, Taiwan