Bull. Korean Math. Soc. 2016; 53(3): 667-680
Printed May 31, 2016
https://doi.org/10.4134/BKMS.b150042
Copyright © The Korean Mathematical Society.
Q-Heung Choi and Tacksun Jung
Inha University, Kunsan National University
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
2015; 52(4): 1149-1167
2009; 46(2): 311-319
2015; 52(2): 661-677
2014; 51(5): 1433-1451
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd