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|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:||Chatswood, DC, USA||ISSN:||0022-0396||Field of Research (FOR):||010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems||Socio-Economic Outcome Codes:||970101 Expanding Knowledge in the Mathematical Sciences||Peer Reviewed:||Yes||HERDC Category Description:||C1 Refereed Article in a Scholarly Journal||Statistics to Oct 2018:||Visitors: 94
|Appears in Collections:||Journal Article|
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