%0 Journal Article %T Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms %A Nemat Nyamoradi %A Mohamad Javidi %J Electronic Journal of Differential Equations %D 2012 %I Texas State University %X 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. %K Ekeland variational principle %K critical Hardy-Sobolev exponent %K concentration-compactness principle %U http://ejde.math.txstate.edu/Volumes/2012/169/abstr.html