Existence and multiplicity of periodic solutions for second order Hamiltonian systems depending on a parameter

Roberto Livrea, Roberto Livrea, Gabriele Bonanno

Risultato della ricerca: Articlepeer review

9 Citazioni (Scopus)

Abstract

The existence of at least one nontrivial periodic solution for a class of second order Hamiltonian systems depending on a parameter is obtained, under an algebraic condition on the nonlinearity G and without requiring any asymptotic behavior neither at zero nor at infinity. The existence is still deduced in the particular case when G is subquadratic at zero. Finally, two multiplicity results are proved if G, in addition, is required to fulfill some different Ambrosetti-Rabinowitz type superquadratic conditions at infinity. The approach is fully variational. © Heldermann Verlag.
Lingua originaleEnglish
pagine (da-a)1075-1094
Numero di pagine20
RivistaJournal of Convex Analysis
Volume20
Stato di pubblicazionePublished - 2013

All Science Journal Classification (ASJC) codes

  • Analysis
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