The Lagrangian Conley conjecture - Archive ouverte HAL Access content directly
Journal Articles Commentarii Mathematici Helvetici Year : 2011

The Lagrangian Conley conjecture

(1)
1

Abstract

We prove a Lagrangian analogue of the Conley conjecture: given a 1-periodic Tonelli Lagrangian with global flow on a closed configuration space, the associated Euler-Lagrange system has infinitely many periodic solutions. More precisely, we show that there exist infinitely many contractible integer periodic solutions with a priori bounded mean action and either infinitely many of them are 1-periodic or they have unbounded period.
Fichier principal
Vignette du fichier
0810.2108v4.pdf (583.02 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

ensl-01404041 , version 1 (28-11-2016)

Identifiers

Cite

Marco Mazzucchelli. The Lagrangian Conley conjecture. Commentarii Mathematici Helvetici, 2011, pp.189 - 246. ⟨10.4171/CMH/222⟩. ⟨ensl-01404041⟩
120 View
90 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More