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math.AP2020
A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems
Alessandro Audrito, Enrico Serra, Paolo Tilli
We study the existence of segregated solutions to a class of reaction-diffusion systems with strong interactions, arising in many physical applications. These special solutions are…
math.AP2020
Uniqueness and non-uniqueness of prescribed mass NLS ground states on metric graphs
Simone Dovetta, Enrico Serra, Paolo Tilli
We consider the problem of uniqueness of ground states of prescribed mass for the Nonlinear Schrödinger Energy with power nonlinearity on noncompact metric graphs. We first establi…