Topological Degree for the Sum of VM O Functions and Multi-valued Semi-continuous Mappings

ZHANG   Jun

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Topological Degree for the Sum of VM O Functions and Multi-valued Semi-continuous Mappings

更新时间：2026-05-27

- Topological Degree for the Sum of VM O Functions and Multi-valued Semi-continuous Mappings
- Vol. 27, Issue 4, Pages: 65-68(2010)
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- Online First：25 December 2010，
  
  Published：2010
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张军. VMO函数与上半连续函数和的拓扑度[J]. 广东工业大学学报, 2010, 27(4): 65-68.

ZHANG Jun. Topological Degree for the Sum of VM O Functions and Multi-valued Semi-continuous Mappings[J]. 2010, 27(4): 65-68.
张军. VMO函数与上半连续函数和的拓扑度[J]. 广东工业大学学报, 2010, 27(4): 65-68. DOI：

ZHANG Jun. Topological Degree for the Sum of VM O Functions and Multi-valued Semi-continuous Mappings[J]. 2010, 27(4): 65-68. DOI：

摘要

在有界区域上定义了VMO函数与上半连续闭凸值映射和的拓扑度，并讨论了其拓扑度的一些性质

Abstract

It defines the topological degree for the sum of VMO functions and multi．valued semi-continuous mappings with boundaries，and studies some properties of this type of topological degree．

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references

Hai"m Brezis，Louis Nirenberg．Degree theory and BMO；Part I：Compact manifolds without boundaries[J]．Selecta Mathematica，New Series，1995，1(2)：201-222.

Ha'／m Brezis，Louis Nirenberg．Degree theory and BMO；Part 11：Compact manifolds with boundaries[J]．Selecta Mathematica，New Series，1996，2(3)：309-368.

Yu Qing Chen，Yeol Je Cho．Nonlinear Operator Theory in Abstract Spaces and Applications[M]．New York：Nova Science Publishers，Inc，2004：72-75.

M P do Carmo．Riemannian geometry[M]．Boston：M P do Carmo，Riemannian geometry ，Birkhauser，1992，56-57.

Brouwer L E J．Uber abbildung der mannigfaltigkeiten[J]．Math Ann，1912(70)：97-115.

郭大钧．非线性泛函分析[M]．2版．山东：山东科学技术出版社，2001，87-156．

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