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摘要
This paper is concerned with the following periodic Hamiltonian elliptic system
{-Delta u + V(x)u = g(x, v) in R-N, -Delta v + V(x)v = f(x, u) in R-N, u(x) -> 0 and v(x) -> 0 as vertical bar x vertical bar -> infinity,
where the potential V is periodic and has a positive bound from below, f (x,t) and g(x,t) are periodic in x and superlinear but subcritical in t at infinity. By using generalized Nehari manifold method, existence of a positive ground state solution as well as multiple solutions for odd f and g are obtained.
