Perturbation results for some nonlinear equations involving fractional operators

By using a perturbation technique in critical point theory, we prove the existence of solutions for two types of nonlinear equations involving fractional differential operators.Comment: 14 page

Interior spikes of a singularly perturbed Neumann problem with potentials

In this paper we prove that a singularly perturbed Neumann problem with potentials admits the existence of interior spikes concentrating in maxima and minima of an auxiliary function depending only on the potentials.Comment: 7 page