The Palais-Smale condition on contact type energy levels for convex Lagrangian systems

被引：0

作者：

Gonzalo Contreras

机构：

[1] CIMAT,

来源：

Calculus of Variations and Partial Differential Equations | 2006年 / 27卷

关键词：

Periodic Orbit; Homotopy Class; Conjugate Point; Free Homotopy Class; Orbit Segment;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that for a uniformly convex Lagrangian system L on a compact manifold M, almost all energy levels contain a periodic orbit. We also prove that below Mañé's critical value of the lift of the Lagrangian to the universal cover, cu(L), almost all energy levels have conjugate points.

引用

页码：321 / 395

页数：74

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