A multiplicity result for Euler–Lagrange orbits satisfying the conormal boundary conditions

被引：0
|
作者：
Dario Corona
机构：
[1] Università di Camerino,Scuola di Scienze e Tecnologie
来源：
Journal of Fixed Point Theory and Applications | 2020年 / 22卷
关键词：
Lagrange’s equations; variational methods; holonomic systems; 70H03; 70G75; 70F20;
D O I：
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摘要：
In this paper, we study the multiplicity problem for Euler–Lagrange orbits that satisfy the conormal boundary conditions for a suitable class of reversible Lagrangian functions on compact manifolds. Such a class contains, e.g. the energy function of reversible Finsler metrics that satisfy a convexity condition on the boundary.
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