Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 144, pp. 1-14.

Title: Multiple solutions for a quasilinear (p,q)-elliptic system
        
Authors: Seyyed Mohsen Khalkhali (Islamic Azad Univ., Tehran, Iran)
         Abdolrahman Razani (Imam Khomeini International Univ., Qazvin, Iran)

Abstract:
 We prove the existence of three weak solutions of a quasilinear
 elliptic system involving a general (p,q)-elliptic operator 
 in divergence form, with $1 < p \leq n$, $1 < q \leq n$. 
 Our main tool is an adaptation of a three critical points
 theorem due to Ricceri.

Submitted May 8, 2013. Published June 25, 2013.
Math Subject Classifications: 35J50, 35D30, 35J62, 35J92, 49J35.
Key Words: Weak solutions; critical points; Dirichlet system;
           divergence type operator.