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

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页码：2999 / 3007

页数：9

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