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RESEARCH PRODUCT

Some notes on a superlinear second order Hamiltonian system

Gabriele BonannoRoberto LivreaMartin Schechter

subject

General Mathematicsmedia_common.quotation_subject010102 general mathematicsMathematical analysisPrimary 34C25; Secondary 34B15; Mathematics (all)Algebraic geometryDynamical systemInfinity01 natural sciencesHamiltonian systemTerm (time)010101 applied mathematicsNonlinear systemNumber theorySecondary 34B15Order (group theory)Primary 34C250101 mathematicsMathematicsmedia_common

description

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.

yearjournalcountryeditionlanguage
2016-12-05
10.1007/s00229-016-0903-6http://hdl.handle.net/11570/3118210