Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 39, pp. 1-11.

Title: Singular elliptic systems involving  concave terms and critical
       Caffarelli-Kohn-Nirenberg exponents

Author: Mohammed E. O. El Mokhtar (University of Tlemcen)

Abstract:
 In this article, we establish the existence of at least four
 solutions to a singular system with a concave term, a critical
 Caffarelli-Kohn-Nirenberg exponent, and sign-changing weight functions.
 Our main tools are the Nehari manifold and the mountain pass theorem.
 	 
Submitted July 21, 2011. Published March 14, 2012.
Math Subject Classifications: 35J66, 35J55, 35B40.
Key Words: Singular elliptic system; concave term; mountain pass theorem; 
           critical Caffarelli-Kohn-Nirenberg exponent;
           Nehari manifold; sign-changing weight function.