a1 Department of Mathematics, Yunnan Normal University, Kunming 650092 Yunnan, P.R. China. firstname.lastname@example.org
a2 Institute of Mathematics, AMSS, CAS, Beijing 100080, P.R. China.
a3 Department of Mathematics, Beijing University of Chemical technology, Beijing 100029, P.R. China.
This paper is concerned with the following periodic Hamiltonian elliptic system
Assuming the potential V is periodic and 0 lies in a gap of , is periodic in x and asymptotically quadratic in , existence and multiplicity of solutions are obtained via variational approach.
(Received March 11 2008)
(Revised July 6 2008)
(Online publication October 21 2008)
Mathematics Subject Classification: