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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.AP2012
The pseudorelativistic Hartree equation with a general nonlinearity: existence, non existence and variational identities
Dimitri Mugnai
We prove several existence and non existence results of solitary waves for a class of nonlinear pseudo-relativistic Hartree equations with general nonlinearities. We use variationa…