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arXiv · 0812.2376

Minimal coexistence configurations for multispecies systems

Monica Conti·Veronica Felli
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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.

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Monica Conti, Veronica Felli. 2008-12-12. Minimal coexistence configurations for multispecies systems. https://arxiv.org/abs/0812.2376

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