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

Francesca Dalbono, Francesca Dalbono, Alessandro Portaluri, Anna Capietto

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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
Lingua originaleEnglish
pagine (da-a)2874-2890
Numero di pagine17
RivistaNONLINEAR ANALYSIS
Volume72
Stato di pubblicazionePublished - 2009

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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