%0 Journal Article
%T On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems
%A Janete Crema
%A Arnaldo Simal do Nascimento
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X We present necessary conditions for the formation of internal transition layers in stationary solutions to some singularly perturbed reaction-diffusion systems. In particular we prove that the well-known equal-area condition which is always assumed in a typical set of sufficient conditions for existence of such solutions is actually a necessary hypothesis. Examples of existence and nonexistence of these solutions are given.
%K Reaction-diffusion system
%K internal transition layer
%K equal-area condition.
%U http://ejde.math.txstate.edu/Volumes/2004/99/abstr.html