摘要
基于逼近理论的思想,我们对无穷维实Hilbert空间上一类泛函引入了一种序列指标(或简称S-指标),并对它在泛函的多重临界点问题中的应用作了讨论,从而在理论上为直接处理无穷维Hilbert空间上一类泛函的临界点问题提供了一种新工具。
Based on the notion of approximation, kind of sequence index (or,for simplicity ,S-index)for a class of functional on an infinite dimensional real Hilbert space is defined,and its significance in the critical point theory is investigated. Hence the S-index as a new theoretical tool to deal with the critical point problems for a class of functionals on the infinite dimensional Hilbert space is introduced.
出处
《重庆大学学报(自然科学版)》
EI
CAS
CSCD
1991年第5期128-132,共5页
Journal of Chongqing University