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|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:||Elsevier||Place of Publication:||Orlando, USA||ISSN:||0022-0396||Field of Research (FOR):||010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems||Socio-Economic Outcome Codes:||970101 Expanding Knowledge in the Mathematical Sciences||Peer Reviewed:||Yes||HERDC Category Description:||C1 Refereed Article in a Scholarly Journal||Statistics to Oct 2018:||Visitors: 91
|Appears in Collections:||Journal Article|
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