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.
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Format: | Article |
Language: | English |
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Texas State University
2000-06-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2000/45/abstr.html |