Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 54, pp. 1-10.

Title: Nonhomogeneous elliptic equations with decaying cylindrical potential
       and critical exponent
       
Authors: Mohammed Bouchekif (Univ. of Tlemcen, Algeria)
         Mohammed E. O. El Mokhtar (Univ. of Tlemcen, Algeria)

Abstract:
 We prove the existence and multiplicity of solutions for a
 nonhomogeneous elliptic equation involving decaying cylindrical
 potential and critical exponent.
 
Submitted February 23, 2011. Published April 27, 2011.
Math Subject Classifications: 35J20, 35J70
Key Words: Hardy-Sobolev-Maz'ya inequality; Palais-Smale condition;
           Nehari manifold; critical exponent.