Ground-state solutions for superquadratic Hamiltonian elliptic systems with gradient terms.

Abstract: In this paper, we study the following Hamiltonian elliptic system with gradient terms: for , where , , and are -periodic in . Under weak superquadratic assumptions for the nonlinearities, we use much more direct methods to prove that all the Cerami sequences for the energy functional are bounded and establish the existence of ground-state solutions for this system. [Copyright &y& Elsevier]