Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions

Title
Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions
Publication Date
2006
Author(s)
Du, Yihong
( author )
OrcID: https://orcid.org/0000-0002-1235-0636
Email: ydu@une.edu.au
UNE Id une-id:ydu
Guo, Zongming
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Academic Press
Place of publication
United States of America
DOI
10.1016/j.jde.2005.08.006
UNE publication id
une:3945
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.
Link
link
Citation
Journal of Differential Equations, 221(1), p. 102-133
ISSN
1090-2732
0022-0396
Start page
102
End page
133

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