| 一类Banach空间中的指标理论及其应用 |
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| 引用本文： | 钟承奎. 一类Banach空间中的指标理论及其应用[J]. 兰州大学学报(自然科学版), 1990, 26(3): 11-16 |
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| 作者姓名： | 钟承奎 |
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| 作者单位： | 兰州大学数学系 |
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| 摘 要： |
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| 关 键 词： | B空间 李群 表示理论 指标理论 |
The Index Theory for a Class of Banach Spaces and Its Application |
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| Zhong Chengkui. The Index Theory for a Class of Banach Spaces and Its Application[J]. Journal of Lanzhou University(Natural Science), 1990, 26(3): 11-16 |
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| Authors: | Zhong Chengkui |
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| Affiliation: | Department of Mathematics |
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| Abstract: | The main purpose of this paper is first to establish the index theorywith dimensional and normal properties on the class of Banach spaces Xtogether with a special action of some compact Lie group G on X.andthen,apply this index theory to consider the existence of the multiplesolution orbits for the Dirichlet problem of a system of nonlinear ellipticequations. |
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| Keywords: | Banach space Lie group representation theory index theory |
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