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Title: Asymptotic Behavior and Uniqueness Results for Boundary Blow-up Solutions
Contributor(s): Du, Yihong  (author)
Publication Date: 2004
DOI: 10.1016/j.amc.2009.10.002
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Abstract: We estimate the blow-up rate and then improve some existing uniqueness results for boundary blow-up solutions to certain quasilinear elliptic equations with a weight function. The weight function is allowed to vanish on the part of the boundary where the solution blows up. Our approach is based on the construction of certain upper and lower solutions on small annuli with partial boundary blow-up, and on a modified version of an iteration technique due to Safonov.
Publication Type: Journal Article
Source of Publication: Differential and Integral Equations, 17(7-8), p. 819-834
Publisher: Khayyam Publishing
Place of Publication: Athens, Ohio, USA
ISSN: 0893-4983
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
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Appears in Collections:Journal Article
School of Science and Technology

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