A sub-supersolution approach for some classes of nonlocal problems involving Orlicz spaces

TL;DR

This paper investigates the existence of solutions for certain nonlocal problems within Orlicz-Sobolev spaces using a sub-supersolution method, contributing to the mathematical understanding of these complex problems.

Contribution

It introduces a sub-supersolution approach tailored for nonlocal problems in Orlicz spaces, expanding the toolkit for analyzing such equations.

Findings

Existence results established for specific nonlocal problems.

Method demonstrates effectiveness in Orlicz-Sobolev space settings.

Provides a framework for future research in nonlocal and Orlicz space problems.

Abstract

In the present paper we study the existence of solutions for some nonlocal problems involving Orlicz-Sobolev spaces. The approach is based on sub-supersolutions.