摘要
本文研究了没有Palais-Sm ale条件的山路引理.对于不满足Palais-Sm ale条件的泛函,得到了渐近临界点的存在性,推广了古典的山路引理.本文还提供了更弱条件下的山路引理的新的证明.
In this paper, the well-known Mountain Pass Lemma is considered without the Palais -Smale （P. S. ） Condition. It is obtained that the existence of asymptotical-critical points of a functional which does not satify the P. S, condition. The main result generalizes the classical Mountain Pass Lemma. This paper also provides a new proof method for classical Mountain Pass Lemma under weaker conditions.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
北大核心
2006年第1期14-16,共3页
Journal of Nanjing Normal University(Natural Science Edition)
基金
Supported by Tianyuan Fund for Mathematics of National Natural Science Foundation of China(A0324615)and Science Founda-tion of Nanjing Normal University(2002SXXXGQ2B20).
关键词
PS条件
山路引理
渐近临界点
P S condition, Mountain Pass Lemma, asymptotical-critical points
