# PERIODIC SOLUTIONS FOR A KIND OF p-LAPLACIAN HAMILTONIAN SYSTEMS

• Zhang, Li (DEPARTMENT OF MATHEMATICS BEIJING INSTITUTE OF TECHNOLOGY) ;
• Ge, Weigao (DEPARTMENT OF MATHEMATICS BEIJING INSTITUTE OF TECHNOLOGY)
• Published : 2010.03.31

#### Abstract

In this paper, the existence of periodic solutions is obtained for a kind of p-Laplacian systems by the minimax methods in critical point theory. Moreover, the existence of infinite periodic solutions is also obtained.

#### References

4. C. L. Tang, Periodic solutions of non-autonomous second order systems with ${\gamma}$- quasisubadditive potential, J. Math. Anal. Appl. 189 (1995), no. 3, 671–675. https://doi.org/10.1006/jmaa.1995.1044