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X. G. Zhang and L. S. Liu, “The Existence and Nonexistence of Entire Positive Solutions of Semilinear Elliptic Systems with Gradient Term,” Journal of Mathematical Analysis and Applications, Vol. 371, No. 1, 2010, pp. 300-308. doi:10.1016/j.jmaa.2010.05.029

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.