On ground state solutions for superlinear Hamiltonian elliptic systems

摘要

In this paper, we study the following Hamiltonian elliptic systems V(x) ∈ C(?~N), f(x,t), g(x,t) ∈ C(?~N × ? are superlinear in t at infinity. Without Ambrosetti-Rabinowtitz condition, the existences of ground state solutions are obtained via the combination of generalized linking theorem and monotonicity method.