Variational methods are used in order to establish the existence and the multiplicity of nontrivial periodic solutions of a second order dynamical system. The main results are obtained when the potential satisfies different superquadratic conditions at infinity. The particular case of equations with a concave-convex nonlinear term is covered.
Bonanno, G., Livrea, R., Schechter, M. (2017). Some notes on a superlinear second order Hamiltonian system. MANUSCRIPTA MATHEMATICA, 154(1-2), 59-77 [10.1007/s00229-016-0903-6].
Some notes on a superlinear second order Hamiltonian system
Livrea, Roberto;
2017-01-01
Abstract
Variational methods are used in order to establish the existence and the multiplicity of nontrivial periodic solutions of a second order dynamical system. The main results are obtained when the potential satisfies different superquadratic conditions at infinity. The particular case of equations with a concave-convex nonlinear term is covered.
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