Boundary Value Problems
Volume 2008 (2008), Article ID 395080, 18 pages
Research Article

Multiplicity Results of Positive Radial Solutions for p-Laplacian Problems in Exterior Domains

Chan-Gyun Kim, Yong-Hoon Lee, and Inbo Sim

Department of Mathematics, Pusan National University, Pusan 609-735, South Korea

Received 23 December 2007; Accepted 16 March 2008

Academic Editor: Zhitao Zhang

Copyright © 2008 Chan-Gyun Kim et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We find the second positive radial solution for the following p-Laplacian problem: div(|u|p2u)+K(|x|)uq=0 in Ω, u|Ω=0, u(x)μ>0 as |x|, where Ω={xN:|x|>r0}, r0>0, N>p>1, KC(Ω,(0,)) and q>p1. We also give some global existence results with respect to the parameter μ.