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math.AP2026
Bifurcations in Isoperimetric Problems with Nonlocal Interactions
Fabio De Regibus, Massimo Grossi, Monica Musso
We study isoperimetric problems modeled on the liquid drop model, with nonlocal interactions under a volume constraint. While balls are natural critical points, we show that, for a…
math.AP2024
On the critical points of solutions of Robin boundary problems
Fabio De Regibus, Massimo Grossi
In this paper we prove the uniqueness of the critical point for stable solutions of the Robin problem \[ \begin{cases} -Îu=f(u)&\text{in }Ω\\ u>0&\text{in }Ω\\ \partial_νu+βu=…