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

Autor: Inbo Sim, Yong-Hoon Lee, Chan-Gyun Kim
Jazyk: angličtina
Rok vydání: 2008
Předmět:
Zdroj: Boundary Value Problems, Vol 2008 (2008)
Druh dokumentu: article
ISSN: 1687-2762
1687-2770
DOI: 10.1155/2008/395080
Popis: 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∈â„ÂN:|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.
Databáze: Directory of Open Access Journals