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https://hdl.handle.net/1959.11/3644| Title: | Boundary Blow-up Solutions with a Spike Layer | Contributor(s): | Du, Yihong (author) ; Yan, Shusen (author) |
Publication Date: | 2004 | DOI: | 10.1016/j.jde.2004.06.010 | Handle Link: | https://hdl.handle.net/1959.11/3644 | 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. | Publication Type: | Journal Article | Source of Publication: | Journal of Differential Equations, 205(1), p. 156-184 | Publisher: | Academic Press | Place of Publication: | United States of America | ISSN: | 1090-2732 0022-0396 |
Fields of Research (FoR) 2008: | 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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| Appears in Collections: | Journal Article |
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