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On stable quasi-harmonic maps and Liouville type theorems |
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| Authors: | Deliang Hsu Chunqin Zhou |
| Affiliation: | Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China ; Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China |
| 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. |
| Keywords: | Quasi-harmonic map stableness Liouville type theorems |
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