On a superquadratic elliptic system with strongly indefinite structure

摘要

In this paper, we consider the elliptic systemwhere Ω is a bounded smooth domain in , and f and g satisfy a general superquadratic condition. By using variational methods, we prove the existence of infinitely many solutions. Our argument relies on the application of a generalized variant fountain theorem for strongly indefinite functionals. Previous results in the topic are improved.