| 到球面上的四维非齐次双调和映射连续性 |
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| 引用本文： | 郑神州,舒连青.到球面上的四维非齐次双调和映射连续性[J].北方交通大学学报,2012(3):118-121,132. |
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| 作者姓名： | 郑神州 舒连青 |
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| 作者单位： | [1]北京交通大学理学院,北京100044 [2]台洲学院数信学院,浙江临海317000 |
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| 基金项目： | 国家自然科学基金资助项目（11071012） |
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| 摘 要： | 对到球面上的四维非齐次双调和映射,本文根据球面的几何结构和四维Lorentz空间的特殊性,得到了在Lorentz空间的估计式,从而得到其弱解的连续性结果.
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| 关 键 词： | 非齐次双调和映射 Lorentz空间 Hodge分解 |
Continuity for a class of nonhomogeneous biharmonic maps into sphere in 4-dimension |
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| ZHENG Shenzhou,SHU Lianqing.Continuity for a class of nonhomogeneous biharmonic maps into sphere in 4-dimension[J].Journal of Northern Jiaotong University,2012(3):118-121,132. |
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| Authors: | ZHENG Shenzhou SHU Lianqing |
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| Institution: | 1. School of Sciences, Beijing Jiaotong University, Beijing 100044, China; 2. School of Mathematics and Information, Taizhou College, Zhejiang Linhai, China) |
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| Abstract: | We consider in 4-dimension the weak solutions of nonhomogeneous biharmonic maps into sphere with nonhomogeneous fields bounded in L^P for rome p 〉 1. Thanks to the symmetric structure of unit sphere and a special character of Lorentz spaces in 4-dimension, we derive a continuity of each weak solution of nonhomogeneous biharmonic maps into sphere. |
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| Keywords: | nonhomogeneous biharmonic maps Lorentz spaces Hodge decomposition |
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