The generic segregated state of any number of strongly competing species in a planar domain has only triple junctions, and all higher-multiplicity meeting points can be removed by small perturbations.
Alessandrini, Critical points of solutions of elliptic equations in two va riables, Ann
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Generic configurations in 2D strongly competing systems
The generic segregated state of any number of strongly competing species in a planar domain has only triple junctions, and all higher-multiplicity meeting points can be removed by small perturbations.