Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 134, pp. 1-16.

Title: Existence of infinitely many solutions for elliptic
       boundary-value problems with nonsymmetrical 
       critical nonlinearity

Author: Geng Di (South China Normal Univ., Guangzhou, China)

Abstract: 
 In this paper, we study a semilinear elliptic boundary-value
 problem involving nonsymmetrical term with critical growth on
 a bounded smooth domain in $\mathbb{R}^n$. We show the existence
 of infinitely many weak solutions under the presence of some
 symmetric sublinear term,  the corresponding critical
 values of the variational functional are negative and go to zero.

Submitted June 29, 2004. Published November 23, 2004.
Math Subject Classifications: 35B50, 35J40.
Key Words: Dirichlet problem; critical growth; non-symmetric perturbation;
           infinitely many solutions.