南京师大学报（自然科学版）2006，Vol.29Issue(1)：14-16,3.
没有P S条件的山路引理
Mountain Pass Lemma Without the P S Condition
摘要
Abstract
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.关键词
P S条件/山路引理/渐近临界点Key words
P S condition/Mountain Pass Lemma/asymptotical-critical points分类
数理科学引用本文复制引用
孙金丽..没有P S条件的山路引理[J].南京师大学报（自然科学版）,2006,29(1):14-16,3.基金项目
Supported by Tianyuan Fund for Mathematics of National Natural Science Foundation of China (A0324615) and Science Foundation of Nanjing Normal University (2002SXXXGQ2B20). （A0324615）
