Some constancy results for harmonic maps from non-contractable domains into spheres

We use the Pohozaev identity on sub-domains of a Euclidean $r$-neighbourhood for a closed or broken curve to show that harmonic maps from such domains into spheres with constant boundary value remain constant.

Bibliographic Details
Main Author: Kewei Zhang
Format: Article
Language:English
Published: Texas State University 2000-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/45/abstr.html