On nonlocal Dirichlet problems with oscillating term

Abstract

In this paper, a class of nonlocal fractional Dirichlet problems is studied. By using a variational principle due to Ricceri (whose original version was given in J. Comput. Appl. Math. 113 (2000), 401–410), the existence of infinitely many weak solutions for these problems is established by requiring that the nonlinear term \begin{document}$ f $\end{document} has a suitable oscillating behaviour either at the origin or at infinity.