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 originale | English |
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pagine (da-a) | 1075-1094 |
Numero di pagine | 20 |
Rivista | Journal of Convex Analysis |
Volume | 20 |
Stato di pubblicazione | Published - 2013 |
All Science Journal Classification (ASJC) codes
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- ???subjectarea.asjc.2600.2600???