A multiplicity result for a class of strongly indefinite asymptotically linear second order systems

Anna Capietto; Francesca Dalbono; Alessandro Portaluri

doi:10.1016/j.na.2009.11.032

A multiplicity result for a class of strongly indefinite asymptotically linear second order systems

Anna Capietto, Francesca Dalbono, Alessandro Portaluri

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a multiplicity result for a class of strongly indefinite nonlinear second order asymptotically linear systems with Dirichlet boundary conditions. The key idea for the proof is to bring together the classical shooting method and the Maslov index of the linear Hamiltonian systems associated to the asymptotic limits of the given nonlinearity.

Original language	English (US)
Pages (from-to)	2874-2890
Number of pages	17
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	72
Issue number	6
DOIs	https://doi.org/10.1016/j.na.2009.11.032
State	Published - May 15 2009

Keywords

Asymptotically linear BVP
Maslov index
Multiplicity
Phase angle

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2009.11.032

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title = "A multiplicity result for a class of strongly indefinite asymptotically linear second order systems",

abstract = "We prove a multiplicity result for a class of strongly indefinite nonlinear second order asymptotically linear systems with Dirichlet boundary conditions. The key idea for the proof is to bring together the classical shooting method and the Maslov index of the linear Hamiltonian systems associated to the asymptotic limits of the given nonlinearity.",

keywords = "Asymptotically linear BVP, Maslov index, Multiplicity, Phase angle",

author = "Anna Capietto and Francesca Dalbono and Alessandro Portaluri",

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AU - Dalbono, Francesca

AU - Portaluri, Alessandro

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N2 - We prove a multiplicity result for a class of strongly indefinite nonlinear second order asymptotically linear systems with Dirichlet boundary conditions. The key idea for the proof is to bring together the classical shooting method and the Maslov index of the linear Hamiltonian systems associated to the asymptotic limits of the given nonlinearity.

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KW - Maslov index

KW - Multiplicity

KW - Phase angle

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A multiplicity result for a class of strongly indefinite asymptotically linear second order systems

Abstract

Keywords

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