| Issue |
ESAIM: COCV
Volume 16, Number 1, January-March 2010
|
|
|---|---|---|
| Page(s) | 77 - 91 | |
| DOI | https://doi.org/10.1051/cocv:2008064 | |
| Published online | 21 October 2008 | |
Infinitely many solutions for asymptotically linear periodic Hamiltonian elliptic systems
1
Department of Mathematics, Yunnan Normal University, Kunming 650092 Yunnan, P.R. China. fukunzhao@163.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.
Received:
11
March
2008
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
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