Some notes on a superlinear second order Hamiltonian system

Roberto Livrea; Martin Schechter; Roberto Livrea; Gabriele Bonanno

Some notes on a superlinear second order Hamiltonian system

Roberto Livrea, Martin Schechter, Roberto Livrea, Gabriele Bonanno

Matematica e Informatica

Risultato della ricerca: Article › peer review

6 Citazioni (Scopus)

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.

Lingua originale	English
pagine (da-a)	59-77
Numero di pagine	19
Rivista	Manuscripta Mathematica
Volume	154
Stato di pubblicazione	Published - 2017

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Some notes on a superlinear second order Hamiltonian system",

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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author = "Roberto Livrea and Martin Schechter and Roberto Livrea and Gabriele Bonanno",

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T1 - Some notes on a superlinear second order Hamiltonian system

AU - Livrea, Roberto

AU - Schechter, Martin

AU - Livrea, Roberto

AU - Bonanno, Gabriele

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Primary 34C25

KW - Secondary 34B15

KW - Primary 34C25

KW - Secondary 34B15

UR - http://hdl.handle.net/10447/258613

UR - https://link.springer.com/article/10.1007%2Fs00229-016-0903-6

M3 - Article

VL - 154

SP - 59

EP - 77

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

ER -