Non-trivial solutions for a class of $(p_1,\dots ,p_n)$-biharmonic systems with Navier boundary conditions
Tom 105 / 2012
Annales Polonici Mathematici 105 (2012), 65-76 MSC: Primary 35J40; Secondary 35J60. DOI: 10.4064/ap105-1-6
Using a recent critical point theorem due to Bonanno, the existence of a non-trivial solution for a class of systems of $n$ fourth-order partial differential equations with Navier boundary conditions is established.