Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 45, pp. 1-13.

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

Author: Kewei Zhang (Macquarie Univ. Sydney Australia)
    
Abstract: 
  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. 
 
Submitted  March 31, 2000. Published June 14, 2000.
Math Subject Classifications: 58E20 35J65 35J60
Key Words: harmonic maps; uniqueness; Pohozaev identity; closed geodesics; 
           tubular neighbourhoods.