A variational problem for the spatial segregation of reaction--diffusion systems

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dc.creatorConti, Monica
dc.creatorTerracini, Susanna
dc.creatorVerzini, Gianmaria
dc.date2003-12-10
dc.date.accessioned2026-07-07T05:03:45Z
dc.date.available2026-07-07T05:03:45Z
dc.descriptionIn this paper we study a class of stationary states for reaction--diffusion systems of $k\geq 3$ densities having disjoint supports. For a class of segregation states governed by a variational principle we prove existence and provide conditions for uniqueness. Some qualitative properties and the local regularity both of the densities and of their free boundaries are established in the more general context of a functional class characterized by differential inequalities.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0312210
dc.identifierhttp://arxiv.org/abs/math/0312210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69545
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject35J65;58E05
dc.titleA variational problem for the spatial segregation of reaction--diffusion systems
dc.typetext

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