… We shall be interested on coverings p : N → M of a compact manifold M and the lifted
Lagrangian L = L ◦ dp : TN → R of a convex superlinear lagrangian L on M. The lagrangian …

Define the critical levelc(L) of a convex superlinear LagragianL as the infimum of thek ∈
ℝsuch that the LagragianL+k has minimizers with fixed endpoints and free time interval. We …

… periodic Lagrangians with minor modifications. We have chosen the autonomous case …
Moreover the autonomous case exhibits certain special features involving the energy as a …

… R a convex superlinear Lagrangian. We consider critical values of Lagrangians as defined
by … Equality (6) implies that xi|[0,Ti] are L-minimizers and we thus can apply Proposition 2.1 to …

… We call it a minimizer of L − ηc … This can be realized by adding a constant α(c) to the
Lagrangian. In this paper, global connecting orbits are constructed along a sequence of finitely many …

… Under assumptions that we believe to be nearly optimal, in particular without assuming
that F is even, any such global minimizer, called energy ground state, proves to have constant …

… for autonomous Lagrangians. In this context, the superlinearity of ξ ↦ Λ ( x , ξ ) guarantees the
Lipschitz regularity of the minimizers… In the autonomous case, for global minimizers, it gives …

… of time periodic Lagrangians is developed for the autonomous case (time … In this work we
study a special Lagrangian on the two dimensional torus (… Therefore z is not a global minimizer. …

… to this question for autonomous Lagrangian and Hamiltonian systems. … global minimizers
depends on the constant k. For different k1 and k2, we have different sets of global minimizers…

… orbits in Tonelli Lagrangian systems on … Lagrangian systems is given in [18]. Let us remark
that the monotone twist map case as well as the case of nonautonomous Tonelli Lagrangians …