Multiple solutions for a quasilinear (p,q)-elliptic system

Abstract

In this article we show the existence of three weak solutions of a Dirichlet quasilinear elliptic system of differential equations which involves a general (p,q)-elliptic operator in divergence, with $1<pleq n$, $1<qleq n$. We use a variational approach based on a three critical points theorem due to Ricceri.

Keywords

• Weak solutions
• critical points
• Dirichlet system
• divergence type operator