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

作者：Capietto Anna^*; Dalbono Francesca; Portaluri Alessandro

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(6): 2874-2890.

DOI：10.1016/j.na.2009.11.032

• Multiplicity
• Asymptotically linear BVP
• Maslov index
• Phase angle

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.

• 出版日期2010-3-15