The Lagrangian Conley Conjecture
نویسنده
چکیده
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 EulerLagrange system has infinitely many periodic solutions. More precisely, we show that there exist infinitely many contractible periodic solutions with a priori bounded mean action and unbounded integer period.
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