doi:10.1155/2008/395080 Research Article Multiplicity Results of Positive Radial Solutions for p-Laplacian Problems in Exterior Domains

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, ux→μ> 0 as |x|→∞, where Ω {x ∈ RN: |x |> r0}, r0> 0, N> p> 1, K ∈ CΩ, 0,∞ and q> p − 1. We also give some global existence results with respect to the parameter μ. Copyright q 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. 1