E. Cinti

activity

20102026

most citedA nonlocal supercritical Neumann problem

14 citations · 51 across the 22 of their papers we have counts for

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Showing 2021 · math.APShow all

2 papers · 2 filters

math.AP2021★ 3 cited

Stable solutions to the fractional Allen-Cahn equation in the nonlocal perimeter regime

Xavier Cabre, Eleonora Cinti, Joaquim Serra

We study stable solutions to the fractional Allen-Cahn equation \linebreak $(- Δ)^{s /2} u = u - u^{3}$ , $∣ u ∣ < 1$ in $R^{n}$ . For every $s \in (0, 1)$ and dimension $n \geq 2$ , we est…

math.AP2021

A quantitative stability inequality for fractional capacities

Eleonora Cinti, Roberto Ognibene, Berardo Ruffini

The aim of this work is to show a non-sharp quantitative stability version of the fractional isocapacitary inequality. In particular, we provide a lower bound for the isocapacitary…