# Lectures on the free period Lagrangian action functional

@article{Abbondandolo2013LecturesOT,
title={Lectures on the free period Lagrangian action functional},
author={Alberto Abbondandolo},
journal={Journal of Fixed Point Theory and Applications},
year={2013},
volume={13},
pages={397-430}
}
• Alberto Abbondandolo
• Published 31 August 2013
• Mathematics
• Journal of Fixed Point Theory and Applications
In this expository article we study the question of the existence of periodic orbits of prescribed energy for classical Hamiltonian systems on compact configuration spaces.We use a variational approach, by studying how the behavior of the free period Lagrangian action functional changes when the energy crosses certain values, known as the Mañé critical values.
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