Luca Asselle

Infinitely many periodic orbits in non-exact oscillating magnetic fields on surfaces with genus at least two for almost every low energy level

In this paper we consider oscillating non-exact magnetic fields on surfaces with genus at least two and show that for almost every energy level

The Lusternik–Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles

k

On the existence of infinitely many closed geodesics on non-compact manifolds

k below a certain value

On the periodic motions of a charged particle in an oscillating magnetic field on the two-torus

\tau _+^*(g,\sigma )

On the existence of Euler–Lagrange orbits satisfying the conormal boundary conditions

τ+∗(g,σ) less than or equal to the Mañé critical value of the universal cover there are infinitely many closed magnetic geodesics with energy