Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 56, pp. 1-8.

Title: Existence of solutions for a class of elliptic systems in 
       $R^N$ involving the p-Laplacian

Authors: Ali Djellit (Univ. of Annaba, Algeria)
 Saadia Tas (Univ. of Annaba, Algeria)

Abstract: 
  Using a variational approach, we study a class of nonlinear elliptic 
  systems derived from a potential and involving the $p$-Laplacian.  
  Under suitable assumptions on the nonlinearities, we show the 
  existence  of nontrivial solutions.
 
Submitted March 24, 2003. Published May 8, 2003.
Math Subject Classifications: 35P65, 35P30.
Key Words: p-Laplacian; nonlinear elliptic system; mountain pass theorem; 
           Palais-Smale condition