Multiplicity of Periodic Solutions for Nearly Resonant Hamiltonian Systems
Abstract We prove a multiplicity result for the periodic problem associated with a Hamiltonian system whose Hamiltonian function has a twisting part and a nonresonant part. The possible approach to resonance together with some kind of Landesman–Lazer conditions is also analyzed. We propose a new version of this condition, and we also treat the so-called double resonance situation.
Authors
- Andrea Sfecci (ORCID: https://orcid.org/0000-0002-8580-3026)
- Rodica Toader (ORCID: https://orcid.org/0000-0002-2798-2556)
- Alessandro Fonda (ORCID: https://orcid.org/0000-0001-6230-3101)
Institutions
- University of Trieste (IT)
Publication Details
- Journal
- Milan Journal of Mathematics
- Published
- 2025-03-05
- DOI
- https://doi.org/10.1007/s00032-025-00412-4
- Citations
- 2
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 7.38
Funders
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Università degli Studi di Trieste