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
Capietto, A., Dalbono, F., & Portaluri, A. (2009). A multiplicity result for a class of strongly indefinite asymptotically linear second order systems. NONLINEAR ANALYSIS, 72(6), 2874-2890 [10.1016/j.na.2009.11.032].
Data di pubblicazione: | 2009 | |
Titolo: | A multiplicity result for a class of strongly indefinite asymptotically linear second order systems | |
Autori: | ||
Citazione: | Capietto, A., Dalbono, F., & Portaluri, A. (2009). A multiplicity result for a class of strongly indefinite asymptotically linear second order systems. NONLINEAR ANALYSIS, 72(6), 2874-2890 [10.1016/j.na.2009.11.032]. | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.na.2009.11.032 | |
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 | |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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