Existence of Four Solutions of Some Nonlinear Hamiltonian System. (14th January 2008)

• Record Type: Journal Article
• Authors: Jung, Tacksun; Choi, Q-Heung
• Other Names: Perera Kanishka Academic Editor.
• Is Part Of: Boundary value problems. Volume 2008(2008)
• Publication Date: 2008-01-14
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/BVP/2008/293987
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We show the existence of four2 π -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.