Author(s)

Daojin Lei, Zuodong Yang

.

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.

Singular p-Laplacian Elliptic System, Entire Positive Solution, Large Solution, Bounded Solution, Entire Large Positive Radial Solution

D. Lei and Z. Yang, "Existence and Nonexistence of Entire Positive Solutions for a Class of Singular p-Laplacian Elliptic System," Advances in Pure Mathematics, Vol. 1 No. 6, 2011, pp. 351-358. doi: 10.4236/apm.2011.16063.