Exact multiplicity of boundary blow-up solutions for a bistable problem
| Autor: | Shin-Hwa Wang, Junping Shi |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Bistability
Exact multiplicity 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs Time-mapping Multiplicity (mathematics) Bifurcation diagram Boundary blow-up solution 01 natural sciences 010101 applied mathematics Nonlinear system Elliptic curve Bistable Computational Mathematics Computational Theory and Mathematics Modeling and Simulation Modelling and Simulation 0101 mathematics Semilinear elliptic equation Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 54(9-10):1285-1292 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2007.04.017 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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