Multiple symmetric invariant non trivial solutions for a class of quasilinear elliptic variational systems

In the present paper we prove a multiplicity result for a model quasi-linear elliptic system, coupled with the homogeneous Dirichlet boundary condition (Sλ) on the unit ball, depending on a positive parameter λ. By variational methods, we prove that for large values of λ, the problem (Sλ) has at least two non-zero symmetric invariant weak solutions.