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The exact boundary blow-up rate of large solutions for semilinear elliptic problems

โœ Scribed by Tiancheng Ouyang; Zhifu Xie


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
251 KB
Volume
68
Category
Article
ISSN
0362-546X

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Exact multiplicity of boundary blow-up s
โœ Junping Shi; Shin-Hwa Wang ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 395 KB

We prove the exact multiplicity of positive boundary blow-up solutions to a semilinear elliptic equation with bistable nonlinearity for the one-dimensional case. We use time-mapping techniques to determine the exact shape of the bifurcation diagram.