Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 169, pp. 1-18.

Title: Existence of solutions to quasilinear elliptic systems
       with combined critical Sobolev-Hardy terms

Authors: Nemat Nyamoradi (Razi Univ., Kermanshah, Iran)
         Mohamad Javidi  (Razi Univ., Kermanshah, Iran)

Abstract:
 This article is devoted to the study of multiple positive solutions
 to a singular elliptic system where the nonlinearity involves a
 combination of concave and convex terms. Using the effect  of the
 coefficient of the critical nonlinearity, and a variational
 method, we establish the main result which is based on a compactness
 argument.

Submitted May 17, 2012. Published October 04, 2012.
Math Subject Classifications: 35B33, 35J60, 35J65.
Key Words: Ekeland variational principle; 
    critical Hardy-Sobolev exponent; concentration-compactness principle.