On stable quasi-harmonic maps and Liouville type theorems
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- by Deliang Hsu and Chunqin Zhou PDF
- Proc. Amer. Math. Soc. 130 (2002), 3415-3422 Request permission
Abstract:
We consider Liouville type problems of stable quasi-harmonic maps, by “stable” we mean that the second variation of quasi-energy functional $E_q(u)$ is nonnegative, and we prove that the stable quasi-harmonic maps must be constant under some geometry conditions.References
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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
- Received by editor(s): April 19, 2000
- Received by editor(s) in revised form: June 25, 2001
- Published electronically: May 8, 2002
- Additional Notes: The first author was supported by NSF of Shanghai Jiao Tong University
- Communicated by: Bennett Chow
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3415-3422
- MSC (2000): Primary 58G30, 35B05
- DOI: https://doi.org/10.1090/S0002-9939-02-06499-7
- MathSciNet review: 1913022