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.
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页码：321 / 395
页数：74
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