Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 100, pp. 1-18.

Title: Strongly indefinite functionals with perturbed symmetries 
       and multiple solutions of nonsymmetric elliptic systems

Authors: Monica Clapp (Univ. Nacional Autonoma de Mexico)
         Yanheng Ding (Chinese Academy of Sciences, Beijing, China)
	 Sergio Hernandez-Linares (Univ. Autonoma Metropolitana, Mexico)
 
Abstract: 
 We prove a critical-point result which provides conditions for 
 the existence of infinitely many critical points of a strongly 
 indefinite functional with perturbed symmetries. Then we apply 
 this result to obtain infinitely many solutions of non-symmetric 
 super-quadratic noncooperative elliptic systems, allowing some 
 supercritical growth.
 
Submitted March 12, 2004. Published August 18, 2004.
Math Subject Classifications: 35J50, 58E05.
Key Words: Critical point theory; perturbation of symmetries; 
    elliptic systems; strongly indefinite functionals;  
    multiple solutions; critical Sobolev exponent.