Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 139, pp. 1-15.

Title: Existence and uniqueness of positive solutions to a quasilinear 
elliptic problem in $\mathbb{R}^{N}$
       
Author: Dragos-Patru Covei (Univ. of Targu-Jiu, Romania)

Abstract: 
 We prove the existence of a unique positive solution to the problem 
 $$
 -\Delta _{p}u=a(x)f(u)
 $$
 in $\mathbb{R}^{N}$, $N>2$. Our result extended previous works by
 Cirstea-Radulescu and Dinu, while the proofs are based on two 
 theorems on bounded domains, due to Diaz-Saa and Goncalves-Santos.
 
Submitted June 8, 2005. Published December 5, 2005.
Math Subject Classifications: 35J60, 35J70.
Key Words: Quasilinear elliptic problem; uniqueness; existence;
           nonexistence; lower-upper solutions.

A corrigendum was posted on October 8, 2007. Some misprints are corrected
and the existence of solutions is clarified. Please see the last page
of this manuscript.