Author:
Burnell J. G.,Lacey A. A.,Wake G. C.
Abstract
AbstractIn an earlier paper (Part I) the existence and some related properties of the solution to a coupled pair of nonlinear elliptic partial differential equations was considered. These equations arise when material is undergoing an exothermic chemical reaction which is sustained by the diffusion of a reactant. In this paper we consider the range of parameters for which the uniqueness of solution is assured and we also investigate the converse question of multiple solutions. The special case of the one dimensional shape of the infinite slab is investigated in full as this case admits to solution by integration.
Publisher
Cambridge University Press (CUP)
Reference5 articles.
1. Steady-states of the reaction-diffusion equations, Part I: Questions of existence and continuity of solution branches;Burnell;J. Austral. Math. Soc.,1983
2. Some positone problems suggested by nonlinear heat generation;Keller;J. Math. Mech.,1967
3. Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
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