Abstract
This paper is concerned with the following Hamiltonian elliptic system: { − △ u + V ( x ) u = H u ( x , u , v ) in R N ; − △ v + V ( x ) v = − H v ( x , u , v ) in R N ; u ( x ) → 0 and v ( x ) → 0 as | x | → ∞ , where V ( x ) ∈ C ( R N , R ) and H ( x , z ) is superquadratic in z as | z | → ∞ with z : = ( u , v ) . By applying a critical point theorem for strongly indefinite functionals, we obtain infinitely many solutions for the above system.
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