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 Variational result for the bifurcation problem of the Hamiltonian system Bull. Korean Math. Soc. 2015 Vol. 52, No. 4, 1149-1167 https://doi.org/10.4134/BKMS.2015.52.4.1149Printed July 31, 2015 Tacksun Jung and Q-Heung Choi Kunsan National University, Inha University Abstract : We get a theorem which shows the existence of at least four 2$\pi$-periodic weak solutions for the bifurcation problem of the Hamiltonian system with the superquadratic nonlinearity. We obtain this result by using the variational method, the critical point theory induced from the limit relative category theory. Keywords : Hamiltonian system, bifurcation problem, superquadratic nonlinearity, variational method, limit relative category, critical point theory, $(P.S.)^{*}_{c}$ condition MSC numbers : 35Q70, 35F50 Downloads: Full-text PDF