Open Access Research Article

Existence of Four Solutions of Some Nonlinear Hamiltonian System

Tacksun Jung1 and Q-Heung Choi2*

Author Affiliations

1 Department of Mathematics, Kunsan National University, Kunsan 573-701, South Korea

2 Department of Mathematics Education, Inha University, Incheon 402-751, South Korea

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Boundary Value Problems 2008, 2008:293987 doi:10.1155/BVP/2008/293987

Published: 14 January 2008

Abstract

We show the existence of four -periodic solutions of the nonlinear Hamiltonian system with some conditions. We prove this problem by investigating the geometry of the sublevels of the functional and two pairs of sphere-torus variational linking inequalities of the functional and applying the critical point theory induced from the limit relative category.