Geodesic
Some constancy results for harmonic maps from non-contractable domains into spheres
Electronic journal of differential equations, Tome 2000 (2000)
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.
Classification : 58E20, 35J65, 35J60
Keywords: harmonic maps, uniqueness, pohozaev identity, closed geodesics, tubular neighbourhoods 
@article{EJDE_2000__2000__a70,
     author = {Zhang,  Kewei},
     title = {Some constancy results for harmonic maps from non-contractable domains into spheres},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0958.58011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a70/}
}
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%A Zhang,  Kewei
%T Some constancy results for harmonic maps from non-contractable domains into spheres
%J Electronic journal of differential equations
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Zhang,  Kewei. Some constancy results for harmonic maps from non-contractable domains into spheres. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a70/