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A maximum principle for  -harmonic maps with  finite energy
Author(s):
Kensho
Takegoshi
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3749-3753.
MSC (1991):
Primary 58D15, 58E20
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Abstract:
We show a maximum principle for  -harmonic maps with  -finite energy. As an application we can generalize a non-existence theorem for harmonic maps with finite Dirichlet integral by Schoen and Yau to those maps.
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Additional Information:
Kensho
Takegoshi
Affiliation:
Department of Mathematics, Graduate School of Science, Machikaneyama-cho 1-16, Toyonaka-shi Osaka, 560 Japan
Email:
kensho@math.wani.osaka-u.ac.jp
DOI:
10.1090/S0002-9939-98-04609-7
PII:
S 0002-9939(98)04609-7
Received by editor(s):
April 21, 1997
Communicated by:
Peter Li
Copyright of article:
Copyright
1998,
American Mathematical Society
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