Edoardo Proietti Lippi

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20212026

most citedThe Neumann condition for the superposition of fractional Laplacians

5 citations · 9 across the 6 of their papers we have counts for

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Showing 2024 · math.APShow all

3 papers · 2 filters

math.AP2024★ 1 cited

Optimal embedding results for fractional Sobolev spaces

Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli +1

This paper deals with the fractional Sobolev spaces $W^{s, p} (Ω)$ , with $s \in (0, 1]$ and $p \in [1, + \infty]$ . Here, we use the interpolation results in [4] to provide suitable condi…

math.AP2024

Global perturbative elliptic problems with critical growth in the fractional setting

Serena Dipierro, Edoardo Proietti Lippi, Enrico Valdinoci

Given $s$ , $q \in (0, 1)$ , and a bounded and integrable function $h$ which is strictly positive in an open set, we show that there exist at least two nonnegative solutions $u$ of the…

math.AP2024★ 5 cited

The Neumann condition for the superposition of fractional Laplacians

Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli +1

We present a new functional setting for Neumann conditions related to the superposition of (possibly infinitely many) fractional Laplace operators. We will introduce some bespoke f…