2 papers
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.SP2025
Spectral minimal partitions of unbounded domains
Matthias Hofmann, James B. Kennedy, Hugo Tavares
We study the problem of constructing -spectral minimal partitions of domains in dimensions, where the energy functional to be minimized is a -norm ()…