Infinitely many solutions for systems of n fourth order partial differential equations coupled with Navier boundary conditions

In this paper, the existence of infinitely many solutions for a class of systems of n fourth order partial differential equations coupled with Navier boundary conditions is established. The approach is fully based on Ricceri’s Variational Principle [B. Ricceri, A general variational principle and some of its applications, J. Comput. Appl. Math. 113 (2000) 401–410].