14 citations · 51 across the 22 of their papers we have counts for
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math.AP2018★ 10 cited
Convex sets evolving by volume preserving fractional mean curvature flows
Eleonora Cinti, Carlo Sinestrari, Enrico Valdinoci
We consider the volume preserving geometric evolution of the boundary of a set under fractional mean curvature. We show that smooth convex solutions maintain their fractional curva…
math.AP2018
On fractional Hardy inequalities in convex sets
Lorenzo Brasco, Eleonora Cinti
We prove a Hardy inequality on convex sets, for fractional Sobolev-Slobodecki\uı spaces of order . The proof is based on the fact that in a convex set the distance from the…