For the reaction--diffusion system of three competing species:
we prove uniqueness of the limiting configuration as on a planar domain , with appropriate boundary conditions. Moreover we prove that the limiting configuration minimizes the energy associated to the system
among all segregated states ( a.e.) with the same boundary conditions.
Cite this article
Monica Conti, Susanna Terracini, Gianmaria Verzini, Uniqueness and least energy property for solutions to strongly competing systems. Interfaces Free Bound. 8 (2006), no. 4, pp. 437–446DOI 10.4171/IFB/150