A Multiplicity result for a class of strongly indefinite asymptotically linear second order systems
Classical Analysis and ODEs
2009-06-02 v1 Functional Analysis
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
Cite
@article{arxiv.0906.0172,
title = {A Multiplicity result for a class of strongly indefinite asymptotically linear second order systems},
author = {Anna Capietto and Francesca Dalbono and Alessandro Portaluri},
journal= {arXiv preprint arXiv:0906.0172},
year = {2009}
}
Comments
19 pages. No figures