Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 101, pp. 1-7.

Title: Infinitely many solutions for the p-Laplace
       equations with nonsymmetric perturbations
  
Authors: Disheng Liu (South China Normal Univ., Guangzhou, China)
         Di Geng     (South China Normal Univ., Guangzhou, China)
 
Abstract: 
 In this article, we study Dirichlet problems involving the p-Laplacian
 with a nonsymmetric term. By using the large Morse index of the
 corresponding Laplace equation, we establish an estimate on the
 growth of the min-max values for a functional associated with
 the problem. The estimate is better than the given result in some range.
 We show that the problem possesses infinitely many weak solutions.
 
Submitted February 28, 2008. Published July 30, 2008.
Math Subject Classifications: 35J70, 35D50.
Key Words: p-Laplacian; large Morse index; nonsymmetric
           perturbation; infinitely many solutions.