伪单调算子紧扰动的值域  

Ranges of Sums for Compact Perturbations of Pseudo-monotone Operators

作　　者：何震[1] 

机构地区：[1]河北大学数学系,河北保定071002

出　　处：《应用泛函分析学报》2000年第3期264-270,共7页Acta Analysis Functionalis Applicata

基　　金：河北省自然科学基金!(1 970 61 )

摘　　要：设 X是自反 Banach空间且 X和 X*均为局部一致凸空间 ,D是 X的开、有界、凸子集 ,T∶D→X*是伪单调算子 (pseudo-monotone) ,C∶D→ X*是紧算子或全连续算子 .利用 (S+)型算子的度理论 ,我们建立了 T+C值域性质的几个结果 .Let X be a reflexive Banach space with both X and X * locally uniformly convex. D is a bounded, open, convex subset of X. T∶D→X * is a pseudo\|monotone operator; C∶D→X * is a compact or strongly continuous operator. By degree theory of operator of type (S\-+) , certain range properties of T+C are established. The results applied to the study of existence of some partial differential equations under various boundary conditions.

关 键 词：伪单调算子 (S+)型算子 同伦 紧扰动 局部一致凸空间 值域 

分 类 号：O177.91[理学—数学]