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

Daojin Lei, Zuodong Yang
DOI: 10.4236/apm.2011.16063                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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