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math.AP2016★ 19 cited
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…
math.AP2016★ 2 cited
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…