Non-trivial solutions for a class of \((p_1,\dots ,p_n)\)-biharmonic systems with Navier boundary conditions. (English) Zbl 1261.35055
Summary: 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.
MSC:
35J40 | Boundary value problems for higher-order elliptic equations |
35J60 | Nonlinear elliptic equations |