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Title: Uniqueness and Layer Analysis for Boundary Blow-up Solutions
Contributor(s): Du, Y  (author); Guo, Z (author)
Publication Date: 2004
DOI: 10.1016/j.matpur.2004.01.006
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Abstract: We prove uniqueness for boundary blow-up solutions of the problem:Δu=λf(u) in Ω,u|∂Ω=∞, with large λ. Previous uniqueness results require a monotonicity assumption for f(u)lu in the entire range of the boundary blow-up solutions. By obtaining good boundary layer estimates for large λ, we obtain uniqueness under much weaker assumptions on f(u). Our estimates for the layers of the boundary blow-up solutions have independent interest, and may have other applications.
Publication Type: Journal Article
Source of Publication: Journal de Mathematiques Pures et Appliquees, 83(6), p. 739-763
Publisher: Elsevier
Place of Publication: Armsterdam
ISSN: 0021-7824
Field of Research (FOR): 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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Appears in Collections:Journal Article
School of Science and Technology

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