Crema, JaneteNascimento, Arnaldo Simal do2021-04-262021-04-262004-08-12Crema, J., & Nascimento, A. S. D. (2004). On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems. <i>Electronic Journal of Differential Equations, 2004</i>(99), pp. 1-13.1072-6691https://hdl.handle.net/10877/13453We 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.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalReaction-diffusion systemInternal transition layerEqual-area conditionOn the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systemsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.