Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 115, pp. 1-18.

Title: On the existence of weak solutions for p,q-laplacian systems
       with weights
  
Authors: Olimpio H. Miyagaki  (Univ. Federal de Vicosa, Brazil)
         Rodrigo S. Rodrigues (Univ. Federal de Sao Carlos, Brazil)
 
Abstract: 
 This paper studies degenerate quasilinear elliptic
 systems involving p,q-superlinear and critical nonlinearities
 with singularities.
 Existence results are obtained by using properties of the best
 Hardy-Sobolev constant together with an approach
 developed by Brezis and Nirenberg.

Submitted May 19, 2008. Published August 20, 2008.
Math Subject Classifications: 35B25, 35B33, 35D05, 35J55, 35J70.
Key Words: Degenerate quasilinear equations;  elliptic system;
           critical exponent; singular perturbation.