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.