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The Lagrangian Conley conjecture

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.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-01404041
Contributor : Marco Mazzucchelli Connect in order to contact the contributor
Submitted on : Monday, November 28, 2016 - 11:45:03 AM
Last modification on : Wednesday, November 20, 2019 - 8:07:35 AM
Long-term archiving on: : Tuesday, March 21, 2017 - 1:17:40 AM

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Marco Mazzucchelli. The Lagrangian Conley conjecture. Commentarii Mathematici Helvetici, European Mathematical Society, 2011, pp.189 - 246. ⟨10.4171/CMH/222⟩. ⟨ensl-01404041⟩

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