Korean J. Math. Vol. 22 No. 3 (2014) pp.471-489
DOI: https://doi.org/10.11568/kjm.2014.22.3.471

Hamiltonian system with the superquadratic nonlinearity and the limit relative category theory

Main Article Content

Tacksun Jung
Q-Heung Choi

Abstract

We investigate the number of the weak periodic solutions for the bifurcation problem of the Hamiltonian system with the superquadratic nonlinearity.
We get one theorem which shows the existence of at least two weak periodic solutions for this system. We obtain this result by using variational method, critical point theory induced from the limit relative category theory.



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