General Uniqueness results and Variation Speed for Blow-up Solutions of Elliptic Equations

Title
General Uniqueness results and Variation Speed for Blow-up Solutions of Elliptic Equations
Publication Date
2005
Author(s)
Cirstea, Florica Corina
Du, Yihong
( author )
OrcID: https://orcid.org/0000-0002-1235-0636
Email: ydu@une.edu.au
UNE Id une-id:ydu
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Wiley-Blackwell Publishing Ltd
Place of publication
United Kingdom
DOI
10.1112/S0024611505015273
UNE publication id
une:3816
Abstract
Let Ω ⊂ ℝN (N ≥ 2) be a smooth bounded domain. We are interested in the uniqueness and asymptotic behavior of the blow-up solutions to the equation -Δu=au-b(x)f(u)in Ω (1) where f∈C[0, ∞ ) is locally Lipschitz, a ∈ ℝ is a parameter and b ∈C⁰... (0 < μ < 1) is positive in Ω and non-negative on ∂Ω.
Link
Citation
Proceedings of the London Mathematical Society, 91(3), p. 459-482
ISSN
1460-244X
0024-6115
Start page
459
End page
482

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