Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 49, pp. 1-13.

Title: Existence of solutions for elliptic systems with 
       critical Sobolev exponent

Authors: Pablo Amster (Univ. de Buenos Aires, Argentina)
Pablo De Napoli (Univ. de Buenos Aires, Argentina)
 Maria Cristina Mariani (Univ. de Buenos Aires, Argentina)
         
Abstract: 
  We establish conditions for existence and for nonexistence of
  nontrivial solutions to an elliptic system of partial differential
  equations. This system is of gradient type and has a nonlinearity
  with critical growth.
  
Submitted January 2, 2002. Published June 2, 2002.
Math Subject Classifications: 35J50
Key Words: Elliptic Systems; Critical Sobolev exponent; 
           variational methods.