E. Cinti

activity

20102026

most citedA nonlocal supercritical Neumann problem

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

collaborators

Showing 2021Show all

3 papers · 1 filter

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.CO2021★ 5 cited

Energy estimates in sum-product and convexity problems

Akshat Mudgal

We prove a new class of low-energy decompositions which, amongst other consequences, imply that any finite set $A$ of integers may be written as $A = B \cup C$ , where $B$ and $C$ a…

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…