Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces

Abstract

In the first part of this article we deal with the existence of at least three non-trivial weak solutions of a nonlocal problem with nonstandard growth involving a nonlocal Robin type boundary condition. The second part of the article is devoted to study eigenvalues and minimizers of several nonlocal problems for the fractional g-Laplacian (-Δg)s with different boundary conditions, namely, Dirichlet, Neumann and Robin.