Critical behaviour of nonlinear elliptic boundary value problems suggested by exothermic reactions
Henning Wiebers · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1986
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).