PERIODIC ORBITS WITH PRESCRIBED ABBREVIATED ACTION

被引：2

作者：

Paternain, Miguel ^{[1
]}

机构：

[1] Univ Republica, Fac Ciencias, Ctr Matemat, Montevideo 11400, Uruguay

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 09期

关键词：

Convex Lagrangian; action functional; periodic orbit; Mane's critical value; PALAIS-SMALE CONDITION; MANES CRITICAL-VALUES; LAGRANGIAN SYSTEMS; CLOSED EXTREMALS; FLOER HOMOLOGY; THEOREM; FLOWS;

D O I：

10.1090/S0002-9939-2015-12597-X

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 w(0) such that for every w > w(0) the Lagrangian has a periodic orbit with abbreviated action w.

引用

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页码：4001 / 4008

页数：8

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