A sub-super solution method for a class of nonlocal problems involving the p(x)-Laplacian operator and applications

TL;DR

This paper introduces a new sub-super solution method to establish the existence of solutions for nonlocal problems involving the p(x)-Laplacian operator, with potential applications in related mathematical models.

Contribution

It develops a novel sub-super solution approach specifically designed for nonlocal p(x)-Laplacian problems, expanding the toolkit for such nonlinear differential equations.

Findings

Established existence results for a class of nonlocal p(x)-Laplacian problems

Introduced a new sub-super solution method for these problems

Potential applications in mathematical modeling and analysis

Abstract

In the present paper we study the existence of solutions for some nonlocal problems involving the p(x)-Laplacian operator. The approach is based on a new sub-supersolution method