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

Electronic Journal of Differential Equations

关键词: harmonic maps;    uniqueness;    Pohozaev identity;    closed geodesics;    tubular neighbourhoods.;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown