S. Chen and G. Lu, “Existence and Nonexistence of Positive Solutions for a Class of Semilinear Elliptic Systems,” Nonlinear Analysis: Theory, Methods & Applications, Vol. 38, No. 7, 1999, pp. 919-932. doi:10.1016/S0362-546X(98)00143-6

has been cited by the following article:

• TITLE: Existence and Nonexistence of Entire Positive Solutions for a Class of Singular p-Laplacian Elliptic System

  AUTHORS: Daojin Lei, Zuodong Yang

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

  JOURNAL NAME: Advances in Pure Mathematics, Vol.1 No.6, November 24, 2011

  ABSTRACT: 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.