Liouville Type Theorems of f-Harmonic Maps with Potential |
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| Authors: | Shuxiang Feng Yingbo Han |
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| Institution: | 1. College of Mathematics and Information Science, Xinyang Normal University, Xinyang, 464000, Henan, People’s Republic of China
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| Abstract: | In this paper, we introduce the notion of f-harmonic map with potential H with respect to the functional E f,H . We use the stress-energy tensor to obtain some monotonicity formulas and Liouville type theorems for f-harmonic maps with potential H under some conditions on f and H. |
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