Multiplicity Results of Positive Radial Solutions for p-Laplacian Problems in Exterior Domains. (26th March 2008)

• Record Type: Journal Article
• Authors: Kim, Chan-Gyun; Lee, Yong-Hoon; Sim, Inbo
• Other Names: Zhang Zhitao Academic Editor.
• Is Part Of: Boundary value problems. Volume 2008(2008)
• Publication Date: 2008-03-26
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2008/395080
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We find the second positive radial solution for the followingp -Laplacian problem:div ( | ∇ u | p − 2 ∇ u ) + K ( | x | ) u q = 0 inΩ, u | ∂ Ω = 0, u ( x ) → μ > 0 as| x | → ∞, whereΩ = { x ∈ ℝ N : | x | > r 0 }, r 0 > 0, N > p > 1, K ∈ C ( Ω, ( 0, ∞ ) ) andq > p − 1 . We also give some global existence results with respect to the parameterμ .