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https://hdl.handle.net/1959.11/3850| Title: | Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions | Contributor(s): | Du, Yihong (author) ; Guo, Zongming (author) |
Publication Date: | 2006 | DOI: | 10.1016/j.jde.2005.08.006 | Handle Link: | https://hdl.handle.net/1959.11/3850 | Abstract: | We show that for large λ>0, the 'generalized' boundary value problem −Δu = λu(u − a(x))(1 − u) in Ω, u|∂Ω = ø, where 1≼ø(x)≼∞, behaves like the special case ø ≡ 1. In particular, we show the existence of solutions with sharp boundary layers and interior spikes, and determine the location of the spikes. | Publication Type: | Journal Article | Source of Publication: | Journal of Differential Equations, 221(1), p. 102-133 | Publisher: | Academic Press | Place of Publication: | United States of America | ISSN: | 1090-2732 0022-0396 |
Fields of Research (FoR) 2008: | 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | 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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