| Regularity of harmonic maps with the potential |
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| 引用本文： | CHU Yuming & LIU Xiangao Department of Mathematics,Huzhou Teachers College,Huzhou 313000,China, Institute of Mathematics,Fudan University,Shanghai 200433,China. Regularity of harmonic maps with the potential[J]. 中国科学A辑(英文版), 2006, 49(5): 599-610. DOI: 10.1007/s11425-006-0599-2 |
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| 作者姓名： | CHU Yuming & LIU Xiangao Department of Mathematics Huzhou Teachers College Huzhou 313000 China Institute of Mathematics Fudan University Shanghai 200433 China |
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| 作者单位： | CHU Yuming & LIU Xiangao Department of Mathematics，Huzhou Teachers College，Huzhou 313000，China; Institute of Mathematics，Fudan University，Shanghai 200433，China |
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| 基金项目： | 中国科学院资助项目;浙江省自然科学基金 |
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| 摘 要： | The aim of this work is to prove the partial regularity of the harmonic maps with potential. The main difficulty caused by the potential is how to find the equation satisfied by the scaling function. Under the assumption on the potential we can obtain the equation, however, for a general potential, even if it is smooth, the partial regularity is still open.
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| 收稿时间： | 2004-10-26 |
| 修稿时间： | 2005-11-21 |
Regularity of harmonic maps with the potential |
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| CHU Yuming,LIU Xiangao. Regularity of harmonic maps with the potential[J]. Science in China(Mathematics), 2006, 49(5): 599-610. DOI: 10.1007/s11425-006-0599-2 |
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| Authors: | CHU Yuming LIU Xiangao |
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| Affiliation: | 1. Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China
2. Institute of Mathematics, Fudan University, Shanghai 200433, China |
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| Abstract: | The aim of this work is to prove the partial regularity of the harmonic maps with potential. The main difficulty caused by the potential is how to find the equation satisfied by the scaling function. Under the assumption on the potential we can obtain the equation, however, for a general potential, even if it is smooth, the partial regularity is still open. |
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| Keywords: | harmonic map partial regularity potential |
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