Boundary Blow-up Solutions with a Spike Layer

Title
Boundary Blow-up Solutions with a Spike Layer
Publication Date
2004
Author(s)
Du, Yihong
( author )
OrcID: https://orcid.org/0000-0002-1235-0636
Email: ydu@une.edu.au
UNE Id une-id:ydu
Yan, Shusen
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.2004.06.010
UNE publication id
une:3734
Abstract
We prove that for large λ>0, the boundary blow-up problem -Δu = -u(u - a)(1 - u) in Ω, u∣∂Ω=∞ has a solution with a spike located near the "most centered part" of Ω. Our proof is based on the reduction method and uses a "cut-off" technique to avoid the difficulties for the estimates near the boundary of Ω. Crown Copyright © 2004 Published by Elsevier Inc. All rights reserved.
Link
link
Citation
Journal of Differential Equations, 205(1), p. 156-184
ISSN
1090-2732
0022-0396
Start page
156
End page
184

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