Geodesic
Coexistence and segregation for strongly competing species in special domains
Monica Conti1 ; Veronica Felli2 orcid
1Politecnico, Milano, Italy
2Università degli Studi di Milano-Bicocca, Italy
Interfaces and free boundaries, Tome 10 (2008) no. 2, pp. 173-195

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DOI

We deal with strongly competing multispecies systems of Lotka-Volterra type with homogeneous Dirichlet boundary conditions. For a class of nonconvex domains composed by balls connected with thin corridors, we show the occurrence of pattern formation (coexistence and spatial segregation of all the species), as the competition grows indefinitely. As a result we prove the existence and uniqueness of solutions for a remarkable system of differential inequalities involved in segregation phenomena and optimal partition problems.
DOI : 10.4171/ifb/185
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Monica Conti  1   ; Veronica Felli  2

1 Politecnico, Milano, Italy
2 Università degli Studi di Milano-Bicocca, Italy 
Monica Conti; Veronica Felli. Coexistence and segregation for strongly competing species in special domains. Interfaces and free boundaries, Tome 10 (2008) no. 2, pp. 173-195. doi: 10.4171/ifb/185
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     title = {Coexistence and segregation for strongly competing species in special domains},
     journal = {Interfaces and free boundaries},
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     year = {2008},
     volume = {10},
     number = {2},
     doi = {10.4171/ifb/185},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/185/}
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