Existence and Multiplicity of Solutions for a Steklov System Involving the (p, q)-Laplacian

In this paper, we prove the existence of at least three weak solutions for a quasilinear elliptic system involving a pair of (p, q) -Laplacian operators with Stekov boundary value conditions. Using the variational method; the technical approach is an adaptation of a three critical points theorem due to Ricceri.