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Uniqueness and layer analysis for boundary blow-up solutions

✍ Scribed by Yihong Du; Zongming Guo

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 218 KB
Volume: 83
Category: Article
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2004.01.006

No coin nor oath required. For personal study only.

✦ Synopsis

We prove uniqueness for boundary blow-up solutions of the problem:

with large λ. Previous uniqueness results require a monotonicity assumption for f (u)/u in the entire range of the boundary blow-up solutions. By obtaining good boundary layer estimates for large λ, we obtain uniqueness under much weaker assumptions on f (u). Our estimates for the layers of the boundary blow-up solutions have independent interest, and may have other applications.

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