HOMOCLINIC ORBITS FOR LAGRANGIAN SYSTEMS

作     者：Wu SHAOPING Departmentof Mathematics, Zhejiang University, Hangzhou, 310027, China. Wu SHAOPING Departmentof Mathematics, Zhejiang University, Hangzhou, 310027, China.

作者机构：ZHEJIANG UNIVDEPT MATHHANGZHOU 310027PEOPLES R CHINA 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：1996年第17卷第2期

页      面：245-256页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundation of China and the Zhejiang Natural Science Foundation 

主　　题：Lagrangian systerm Superquadratic growth Concentration-compactness Minimax argument 

摘      要：The existence of at least two homoclinic orbits for Lagrangian system (LS) is proved, where the Lagrangian L(t,x,y) =1/2∑aij(x)yiyj-V(t, x), in which the potential V(t,x) is globally surperquadratic in x and T-periodic in t. The Concentration-Compactness Lemma and Mini- max argument are used to prove the existences.