渐进二次泛函在无穷远处的临界群(英文)  

Critical Groups at Infinity for Asymptotically Quadratic Functionals

作　　者：梁志刚[1] 刘轼波[1] 

机构地区：[1]中国科学院数学与系统科学研究院数学研究所,北京100080

出　　处：《应用泛函分析学报》2003年第3期213-216,共4页Acta Analysis Functionalis Applicata

基　　金：Supported by National Natural Science Foundation of China(10 10 10 2 6 ) ;Natural ScienceFoundation of Beijing (10 2 2 0 0 3)

摘　　要：在 Bartsch- L i建立的在无穷远处的分裂定理的基础上 ,证明一个关于渐近二次泛函在无穷远处的临界群的计算的结果 。Base on the spliting theorem near infinity (due to Bartsch-Li), we prove a new result concerning on the computation of the critical group at infinity of asymptotically quadratic functionals, which is similar to the corresponding results for the critical groups at isolated critical points.

关 键 词：渐进二次泛函 临界群 MORSE指标 分裂定理 

分 类 号：O177[理学—数学]