Infinitely many solutions for asymptotically linear periodic Hamiltonian elliptic systems
Department of Mathematics, Yunnan Normal University, Kunming 650092 Yunnan, P.R. China. email@example.com
2 Institute of Mathematics, AMSS, CAS, Beijing 100080, P.R. China.
3 Department of Mathematics, Beijing University of Chemical technology, Beijing 100029, P.R. China.
Revised: 6 July 2008
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.
Mathematics Subject Classification: 35J50 / 35J55
Key words: Hamiltonian elliptic system / variational methods / strongly indefinite functionals
© EDP Sciences, SMAI, 2008