Boundary Blow-up Solutions with a Spike Layer

Author(s)
Du, Yihong
Yan, Shusen
Publication Date
2004
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.
Citation
Journal of Differential Equations, 205(1), p. 156-184
ISSN
1090-2732
0022-0396
Link
https://hdl.handle.net/1959.11/3644
Publisher
Academic Press
Title
Boundary Blow-up Solutions with a Spike Layer
Type of document
Journal Article
Entity Type
Publication

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