| 关于(S)_+型映射的一个区域不变定理及其应用 |
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| 引用本文： | 周海云.关于(S)_+型映射的一个区域不变定理及其应用[J].军械工程学院学报,1992(3). |
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| 作者姓名： | 周海云 |
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| 作者单位： | 军械工程学院数学教研室 |
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| 摘 要： | 本文运用拓扑度方法,获得一个关于(S)_+型映射的区域不变定理。作为它的应用,本文得到了扩张映射的满值性,从而部分地回答了著名数学家L.Nirenberg提出的一个关于扩张映射满值性的公开问题。
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| 关 键 词： | 次连续(S)_+型映射度 区域不变定理 扩张映射 |
A DOMAIN INVARIANCE THEOREM ON MAP OF TYPE(S)_+ WITH APPLICATIONS |
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| Zhou Haiyun,Teaching and Research Section of Maths.A DOMAIN INVARIANCE THEOREM ON MAP OF TYPE(S)_+ WITH APPLICATIONS[J].Journal of Ordnance Engineering College,1992(3). |
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| Authors: | Zhou Haiyun Teaching and Research Section of Maths |
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| Abstract: | By virtue of the method of degree of mapping, we obtain a domain invariance theorem on mapping of type (S)_+. As its applications, the surjectivity of expanding mapping is pres- ented here, thus we answer partially the open problem about the surjectivity of expanding mapping stated by L. Nirenberg. |
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| Keywords: | degree of mapping of type(S)_+ domain invariance theorem expanding mapping |
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