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On stable quasi-harmonic maps and Liouville type theorems
Author(s):
Deliang
Hsu;
Chunqin
Zhou
Journal:
Proc. Amer. Math. Soc.
130
(2002),
3415-3422.
MSC (2000):
Primary 58G30, 35B05
Posted:
May 8, 2002
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Abstract:
We consider Liouville type problems of stable quasi-harmonic maps, by ``stable'' we mean that the second variation of quasi-energy functional  is nonnegative, and we prove that the stable quasi-harmonic maps must be constant under some geometry conditions.
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Additional Information:
Deliang
Hsu
Affiliation:
Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
Email:
hsudl@online.sh.cn
Chunqin
Zhou
Affiliation:
Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
DOI:
10.1090/S0002-9939-02-06499-7
PII:
S 0002-9939(02)06499-7
Keywords:
Quasi-harmonic map,
stableness,
Liouville type theorems
Received by editor(s):
April 19, 2000
Received by editor(s) in revised form:
June 25, 2001
Posted:
May 8, 2002
Additional Notes:
The first author was supported by NSF of Shanghai Jiao Tong University
Communicated by:
Bennett Chow
Copyright of article:
Copyright
2002,
American Mathematical Society
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