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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
The fractional Hartree equation without the Ambrosetti-Rabinowitz condition
Mauro Francesconi, Dimitri Mugnai
We consider a class of pseudo-relativistic Hartree equations in presence of general nonlinearities not satisfying the Ambrosetti-Rabinowitz condition. Using variational methods bas…