%0 Journal Article %T On the existence of weak solutions for p,q-laplacian systems with weights %A Olimpio H. Miyagaki %A Rodrigo S. Rodrigues %J Electronic Journal of Differential Equations %D 2008 %I Texas State University %X 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. %K Degenerate quasilinear equations %K elliptic system %K critical exponent %K singular perturbation %U http://ejde.math.txstate.edu/Volumes/2008/115/abstr.html