19 citations · 22 across the 5 of their papers we have counts for
5 papers
Multiple positive solutions for a slightly subcritical Choquard problem on bounded domains
Marco Ghimenti, Dayana Pagliardini
In this paper we study a slightly subcritical Choquard problem on a bounded domain D. We prove that the number of positive solutions depends on the topology of the domain. In parti…
On critical points of the relative fractional perimeter
Andrea Malchiodi, Matteo Novaga, Dayana Pagliardini
We study the localization of sets with constant nonlocal mean curvature and prescribed small volume in a bounded open set with smooth boundary, proving that they are {\em sufficien…
Minimizers for a fractional Allen-Cahn equation in a periodic medium
Dayana Pagliardini
We aim to study the solutions of a fractional mesoscopic model of phase transitions in a periodic medium. After investigating the geometric properties of the interface of the assoc…
Existence and multiplicity results for the fractional Laplacian in bounded domains
Dimitri Mugnai, Dayana Pagliardini
In this paper, first we study existence results for a linearly perturbed elliptic problem driven by the fractional Laplacian. Then, we show a multiplicity result when the perturbat…
Multiplicity of critical points for the fractional Allen-Cahn energy
Dayana Pagliardini
In this paper we study the fractional analogue of the Allen-Cahn energy in bounded domains, and we show that it admits a number of critical points which goes to infinity as the per…