paper

On nonlocal Dirichlet problems with oscillating term

arXiv:2305.09609 · doi:10.3934/dcdss.2022130

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 has a suitable oscillating behaviour either at the origin or at infinity.

On nonlocal Dirichlet problems with oscillating term · wovepaper