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Exact multiplicity of boundary blow-up solutions for a bistable problem

โœ Scribed by Junping Shi; Shin-Hwa Wang

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
395 KB
Volume
54
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

The blow-up of solutions of a nonlocal t
The blow-up of solutions of a nonlocal thermistor problem
โœ A. Barabanova ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 245 KB

In this paper, we study the blow-up of the solution of a degenerate nonlocal nonlinear system describing the distribution of temperature and potential in thermistors. We give conditions on electrical and thermal conductivities under which blow-up will occur.