PERIODIC ORBITS OF LAGRANGIAN SYSTEMS WITH PRESCRIBED ACTION OR PERIOD

被引：2
|
作者：
Paternain, Miguel [1 ]
机构：
[1] Univ Republica, Fac Ciencias, Ctr Matemat, Igua 4225, Montevideo 11400, Uruguay
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 07期
关键词：
Convex Lagrangian; action functional; periodic orbit; PALAIS-SMALE CONDITION; MANES CRITICAL-VALUES; FLOER HOMOLOGY; ENERGY; FLOWS;
D O I：
10.1090/proc/12950
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that for every convex Lagrangian quadratic at infinity there is a real number a(0) such that for every a > a(0) the Lagrangian has a periodic orbit with action a. We attain estimates on the period and energy of the periodic orbits obtained. We also show that such a Lagrangian has periodic orbits of every period.
引用
下载
收藏
页码：2999 / 3007
页数：9
相关论文
共 50 条
12345