Boundary Value Problems
Volume 2008 (2008), Article ID 395080, 18 pages
doi:10.1155/2008/395080
Research Article
Multiplicity Results of Positive Radial Solutions for p-Laplacian Problems in Exterior Domains
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.
Abstract
We find the second positive radial solution for the following p-Laplacian problem: div(|∇u|p−2∇u)+K(|x|)uq=0 in Ω, u|∂Ω=0, u(x)→μ>0 as |x|→∞, where Ω={x∈ℝN:|x|>r0}, r0>0, N>p>1, K∈C(Ω,(0,∞)) and q>p−1. We also give some global existence results with respect to the parameter μ.