Journal of Guangdong University of Technology ›› 2010, Vol. 27 ›› Issue (4): 65-68.

• Comprehensive Studies • Previous Articles     Next Articles

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

  

  1. Faculty of Applied Mathematics，Guangdong University of Technology，Guangzhou 510006，China
  • Online:2010-12-25 Published:2010-12-25

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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．

Key words: VMO functions；Multi-valued Semi-continuous Mappings；topological degree

[1]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．

[2]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．

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

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

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

[6]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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