Uniqueness and least energy property for solutions to strongly competing systems

  • Monica Conti

    Politecnico, Milano, Italy
  • Susanna Terracini

    Università di Torino, Italy
  • Gianmaria Verzini

    Politecnico di Milano, Italy

Abstract

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. 437–446

DOI 10.4171/IFB/150