Minimal coexistence configurations for multispecies systems

  • Conti M
  • Felli V
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Abstract

We deal with strongly competing multispecies systems of Lotka-Volterra type with homogeneous Neumann boundary conditions in dumbbell-like domains. Under suitable non-degeneracy assumptions, we show that, as the competition rate grows indefinitely, the system reaches a state of coexistence of all the species in spatial segregation. Furthermore, the limit configuration is a local minimizer for the associated free energy. © 2009 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Competing multispecies systems
  • Domain perturbation
  • Segregation states

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