1) compact orthogonal mapping
紧正交映象
1.
A zero\|point theorem of the compact orthogonal mapping is presented and proved with a discussion on the second order quasi\|linear elliptic boundary value as shown below:∑Ni,j=1D i(a ij (x,u)D ju)=f(x,u,u) u| Ω =0 u∈H 1 0(Ω).
在拓扑线性空间下,提出并证明了一个紧正交映象零点定理,作为应用讨论了下列二阶拟线性椭圆型边值问题∑Ni,j= 1Di(aij(x,u)Dju) = f(x,u,u)u|Ω= 0 u ∈H10(Ω)在解除了关于aij的对称性假设、有界性假设和f 的次线性假设、单调性假设的情况下,给出了一个弱解存在定理,推广和改进了现有的结果。
2) A-compact mapping
A-紧映象
3) P 1 compact mapping
P_1紧映象
4) Compact mapping
紧映象
1.
The properties and applications of the degree are studied,in which some fixed point results about the generalized P1compact mappings are proved by the degree theory.
给出了广义SAproper映射的定义,建立了此类映射的拓扑度,证明了它具有一般拓扑度常有的性质,并由此给出了广义P1紧映象的几个不动点定理,它们是一些经典不动点定理的推广。
5) P1 compact mappings
P1-紧映象
6) semi-compact mappings
半紧映象
补充资料:交映
1.互相映照﹑映衬。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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