A maximum principle for -harmonic maps

with finite energy

Author:
Kensho Takegoshi

Journal:
Proc. Amer. Math. Soc. **126** (1998), 3749-3753

MSC (1991):
Primary 58D15, 58E20

DOI:
https://doi.org/10.1090/S0002-9939-98-04609-7

MathSciNet review:
1469437

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-98-04609-7

Received by editor(s):
April 21, 1997

Communicated by:
Peter Li

Article copyright:
© Copyright 1998
American Mathematical Society