Degree theory and BMO; part II: Compact manifolds with boundaries
Degree theory and BMO; part II: Compact manifolds with boundaries
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学位理论和BMO；
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
L. Nirenberg
中科院分区：
文献类型：
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作者：
H. Brezis;L. Nirenberg
二.0。引言这是H. Brezis和L. Nirenberg [1]（= [BNI]），我们将经常引用那篇论文中的概念和结果。在那里，我们扩展的度理论VMO映射之间的紧凑的n维定向流形没有边界。本文考虑一类从有界域Ω <$R到R的映射u.在经典度理论中，对于u ∈ C（Ω，R），u在一点处的度
II.0. Introduction This is a continuation of H. Brezis and L. Nirenberg [1] (= [BNI]), and we will often refer to concepts and results in that paper. There, we extended degree theory to VMO maps between compact n-dimensional oriented manifolds without boundaries. In this paper we consider a class of maps u from a bounded domain Ω ⊂ R into R. In classical degree theory, for u ∈ C(Ω,R), the degree of u at a point