Critical point theorem for asymptotically quadratic functional without compactness

被引：0
作者：
Liang, Zhanping [1 ,2 ]
Su, Jiabao [2 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
[2] Capital Normal Univ, Sch Math Sci, Beijing 100037, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 370卷 / 02期
关键词：
Quadratic functional; Critical group; Critical point; Morse theory; RESONANCE; EQUATIONS;
D O I：
10.1016/j.jmaa.2010.04.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we build an abstract critical point theorem for the asymptotically quadratic functional without compactness. Application is devoted to the existence of nontrivial periodic solution of second order Hamiltonian systems. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：649 / 658
页数：10
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