%0 Journal Article %T Existence and Nonexistence of Entire Positive Solutions for a Class of Singular p-Laplacian Elliptic System %A Daojin Lei %A Zuodong Yang %J Advances in Pure Mathematics %P 351-358 %@ 2160-0384 %D 2011 %I Scientific Research Publishing %R 10.4236/apm.2011.16063 %X In this paper, we show the existence and nonexistence of entire positive solutions for a class of singular elliptic system We have that entire large positive solutions fail to exist if f and g are sublinear and b and d have fast decay at infinity. However, if f and g satisfy some growth conditions at infinity, and b, d are of slow decay or fast decay at infinity, then the system has infinitely many entire solutions, which are large or bounded. %K Singular p-Laplacian Elliptic System %K Entire Positive Solution %K Large Solution %K Bounded Solution %K Entire Large Positive Radial Solution %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=8673