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

Author(s)
Du, Yihong
Guo, Zongming
Publication Date
2006
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.
Citation
Journal of Differential Equations, 221(1), p. 102-133
ISSN
1090-2732
0022-0396
Link
https://hdl.handle.net/1959.11/3850
Publisher
Academic Press
Title
Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions
Type of document
Journal Article
Entity Type
Publication

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