Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 18, pp. 1-9.

Title: Minimax principles for critical-point theory in applications
       to quasilinear boundary-value problems

Authors: A. R. El Amrouss  (Univ. Mohamed I, Oujda, Moroco)
  M. Moussaoui (Univ. Mohamed I, Oujda, Moroco)
         
Abstract: 
 Using the variational method developed by the same author in [7], we  
 establish the existence of solutions to the equation 
   $-\Delta_p u = f(x,u)$
 with Dirichlet boundary conditions. 
 Here $\Delta_p$ denotes the p-Laplacian and $\int_0^s f(x,t)\,dt$ is 
 assumed to lie between the first  two eigenvalues of the p-Laplacian. 

Submitted September 9, 1999. Published March 8, 2000.
Math Subject Classifications: 49J35, 35J65, 35B34.
Key Words: Minimax methods; p-Laplacian; resonance.