Geodesic
On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems
Electronic journal of differential equations, Tome 2004 (2004)
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.
Classification : 35B25, 35B35, 35K57, 35R35
Keywords: reaction-diffusion system, internal transition layer, equal-area condition 
@article{EJDE_2004__2004__a48,
     author = {Crema,  Janete and do Nascimento,  Arnaldo Simal},
     title = {On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1065.35031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a48/}
}
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Crema,  Janete; do Nascimento,  Arnaldo Simal. On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a48/