ON NONLOCAL DIRICHLET PROBLEMS WITH OSCILLATING TERM

摘要

In this paper, a class of nonlocal fractional Dirichlet problems isstudied. By using a variational principle due to Ricceri (whose original versionwas given in J. Comput. Appl. Math. 113 (2000), 401-410), the existence ofinfinitely many weak solutions for these problems is established by requiringthat the nonlinear term f has a suitable oscillating behaviour either at theorigin or at infinity.