We provide multiplicity results for the periodic problem associated with Hamiltonian systems coupling a system having a Poincaré–Birkhoff twist-type structure with a system presenting some asymmetric nonlinearities, with possible one-sided superlinear growth. We investigate nonresonance, simple resonance and double resonance situations, by implementing some kind of Landesman–Lazer conditions.
An extension of the Poincaré–Birkhoff Theorem to systems involving Landesman–Lazer conditions / Fonda, A.; Mamo, N. G.; Sfecci, A.. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - 73:(2024), pp. 2877-2900. [10.1007/s11587-024-00875-4]
An extension of the Poincaré–Birkhoff Theorem to systems involving Landesman–Lazer conditions
Fonda A.Primo
;Mamo N. G.Secondo
;Sfecci A.Ultimo
2024-01-01
Abstract
We provide multiplicity results for the periodic problem associated with Hamiltonian systems coupling a system having a Poincaré–Birkhoff twist-type structure with a system presenting some asymmetric nonlinearities, with possible one-sided superlinear growth. We investigate nonresonance, simple resonance and double resonance situations, by implementing some kind of Landesman–Lazer conditions.| File | Dimensione | Formato | |
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