# VARIATIONAL RESULT FOR THE BIFURCATION PROBLEM OF THE HAMILTONIAN SYSTEM

JUNG, TACKSUN;CHOI, Q-HEUNG

• Published : 2015.07.31
• 18 2

#### 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

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#### Acknowledgement

Supported by : National Research Foundation of Korea (NRF)