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 Weak solutions for the Hamiltonian bifurcation problem Bull. Korean Math. Soc. 2016 Vol. 53, No. 3, 667-680 https://doi.org/10.4134/BKMS.b150042Published online May 31, 2016 Q-Heung Choi and Tacksun Jung Inha University, Kunsan National University Abstract : We get a theorem which shows the multiple weak solutions for the bifurcation problem of the superquadratic nonlinear Hamiltonian system. We obtain this result by using the variational method, the critical point theory in terms of the $S^{1}$-invariant functions and the $S^{1}$-invariant linear subspaces. Keywords : Hamiltonian system, bifurcation problem, superquadratic nonlinearity, variational method, critical point theory, $S^{1}$-invariant function, $S^{1}$-invariant subspace, $(P.S.)^{*}_{c}$ condition MSC numbers : 35Q72, 35F30 Full-Text :