Existence of weak solutions for a class of (p,q)(p,q)-Laplacian systems on resonance

The existences of weak solutions for a class of (p,q)(p,q)-Laplacian systems on resonance are obtained under the certain Landesman–Lazer-type conditions by using G-link Theorem due to Drábek and Robinson (1999). Our results give a positive answer to an open problem of Zographopoulos (2004).