Published Paper

Inserted: 13 oct 2016
Last Updated: 29 may 2017

Journal: Advances in Calculus of Variations
Pages: 20
Year: 2015
Doi: 10.1515/acv-2015-0032

Abstract:

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 perturbation parameter is close to the eigenvalues. This latter result is obtained by exploiting the topological structure of the sublevels of the associated functional, which permits to apply a critical point theorem of mixed nature due to Marino and Saccon.

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