The geometry of solutions to a segregation problem for nondivergence systems

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Uniform Bounds for Strongly Competing Systems: The Optimal Lipschitz Case (2014, background): “Concerning the regularity of the limit configurations and of their free-boundary, we mainly refer to [7] for the variational setting, to [6] for the symmetric one, and in particular to [27], which provides a unified approach investigating the regularity of a wide class of segregated vector valued fu”
Dynamics of strongly competing systems with many species (2012, methodology): “Conti, Terracini and Verzini [9], [10], Caffarelli, Karakhanyan and Lin [2] [3], etc.”
Some new results in competing systems with many species (2010, methodology): “Conti, Terracini and Verzini [5,6], Caffarelli, Karakhanyan and Lin [1,2], etc., established the regularity of the singular limit (and the partial regularity of its free boundary) as κ → +∞ and the uniform regularity for all κ > 0.”