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math.AP2026
On the emergence of dead cores in elliptic systems with sublinear competitive interactions
Hugo Tavares, Gianmaria Verzini, Junwei Yu
In this paper, we study semilinear elliptic systems with sublinear coupling terms, showing that, under competition-type interactions, solutions typically have dead cores, i.e., the…
math.AP2026
Selection of the angular speed of rotating waves in segregated reaction-diffusion systems with asymmetric competition
Giuseppe Spadaro, Gianmaria Verzini, Alessandro Zilio
We investigate the existence of segregated rotating waves, arising in the singular limit of competition-diffusion systems of the type \[ \partial_t u_i -\partial_{xx} u_i = f(u_i)-…