Multivalued Elliptic Inclusion in Fractional Orlicz–Sobolev Spaces

Abstract

In this research, we analyze the existence of nontrivial solution for a class of non-local multivalued elliptic problems on bounded domain with Direchlet boundary condition. The primary techniques employed consist of variational methods for Locally Lipschitz functional applied to fractional Orlicz–Sobolev space. Our main results generalize some recent findings in the literature to non-smooth cases.