On a nonlocal problem involving a nonstandard nonhomogeneous differential operator

摘要

In this article, we are concerned with some class of nonlocal problems involving a?nonstandard nonlocal and nonhomogeneous differential operator?settled in Musielak–Orlicz–Sobolev spaces. We apply variational approach and look for nontrivial solutions, that is, local minimizers of the corresponding energy functional.