Article contents
Critical behaviour of nonlinear elliptic boundary value problems suggested by exothermic reactions
Published online by Cambridge University Press: 14 November 2011
Synopsis
We consider a class of semilinear elliptic boundary value problems depending on a parameter, which arise in the theory of combustion. Based on the results in another paper by the same author, a rigorous quantitative connection is shown between the solution set of the boundary value problem and that of a simple scalar equation (the Semenov approximation).
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 1-2 , 1986 , pp. 19 - 36
- Copyright
- Copyright © Royal Society of Edinburgh 1986
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