Abstract
This article concerns a class of nonlocal fractional Laplacian problems depending of three real parameters. More precisely, by using an appropriate analytical context on fractional Sobolev spaces due to Servadei and Valdinoci (in order to correctly encode the Dirichlet boundary datum in the variational formulation of our problem) we establish the existence of three weak solutions for fractional equations via a recent abstract critical point result for differentiable and parametric functionals recently proved by Ricceri.
Published Online: 2016-03-10
Published in Print: 2014-08-01
© 2016 by Advanced Nonlinear Studies, Inc.
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
