Existence and uniqueness of solutions in fractional Orlicz-Sobolev spaces for a nonlocal singular elliptic problem

TL;DR

This paper proves the existence and uniqueness of positive solutions for a class of nonlocal singular elliptic problems within fractional Orlicz-Sobolev spaces, expanding the theoretical understanding of such equations.

Contribution

It introduces new results on existence and uniqueness in fractional Orlicz-Sobolev spaces for nonlocal singular elliptic problems, a novel setting for these types of equations.

Findings

Existence of positive solutions established

Uniqueness of solutions proven

Results applicable to a class of nonlocal singular problems

Abstract

In this article, we investigate the existence and uniqueness of a positive solution for a class of singular nonlinear elliptic problem with boundary condition. Our result holds in fractional Orlicz-Sobolev spaces.