| 一类调和映射正则性之几点注记 |
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| 引用本文： | 杨孝平. 一类调和映射正则性之几点注记[J]. 南京理工大学学报(自然科学版), 1997, 21(1): 78-81 |
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| 作者姓名： | 杨孝平 |
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| 作者单位： | 南京理工大学理学院 |
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| 摘 要： | 该文讨论到正则球的含自由边界的弱ｐ调和映射，利用正则球的几何参数估计，ｂｌｏｗ ｕｐ技巧和反射延拓法，分别给出了映射为ｐ次能量极小的处处正则性和弱ｐ调和映射的部分正则性，结合单调性公式，得到了驻定的弱ｐ调和映射的处处正则性。
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| 关 键 词： | 调和映射 自由边界 正则性 黎曼流形 |
The Regularity of a Kind of Harmonic Mappings |
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| Yang Xiaoping. The Regularity of a Kind of Harmonic Mappings[J]. Journal of Nanjing University of Science and Technology(Nature Science), 1997, 21(1): 78-81 |
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| Authors: | Yang Xiaoping |
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| Abstract: | This paper discussed the weakly p harmonic mappings into regular geodesic balls with free boundaries. By means of geometric parameter estimates, blow up technique and the extension method of reflection, everywhere regularity for the mappings which were p energy minimizers and partial regularity for weakly p harmonic mappings were derived respectively. Furthermore, on account of monotonicity formula, it was obtained that the stationary p harmonic mappings were everywhere regular. |
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| Keywords: | harmonic mappings free boundaries regularity regular geodesic |
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