Abstract
This paper is concerned with the following Hamiltonian elliptic system −Δu+b→(x)⋅∇u+V(x)u=Hv(x,u,v)inRN,−Δv−b→(x)⋅∇v+V(x)v=Hu(x,u,v)inRN.Under a subquadratic growth condition on the nonlinearity, we establish the existence of a sequence of small energy solutions by using a new critical point theorem for strongly indefinite functional.
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