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 k below a certain value 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 k.
Infinitely many periodic orbits in non-exact oscillating magnetic fields on surfaces with genus at least two for almost every low energy level / Asselle, L.; Benedetti, G.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 54:2(2015), pp. 1525-1545. [10.1007/s00526-015-0834-1]
Infinitely many periodic orbits in non-exact oscillating magnetic fields on surfaces with genus at least two for almost every low energy level
Asselle L.;Benedetti G.
2015-01-01
Abstract
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 k below a certain value 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 k.| File | Dimensione | Formato | |
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