Existence of solution for a class of nonlocal elliptic problem via sub-supersolution method

TL;DR

This paper proves the existence of solutions for certain nonlocal elliptic problems by combining sub-supersolution methods with pseudomonotone operator theory.

Contribution

It introduces a novel approach that integrates sub-supersolution techniques with pseudomonotone operators to establish solution existence.

Findings

Existence of solutions for specific nonlocal elliptic problems.

Application of combined sub-supersolution and pseudomonotone operator methods.

Theoretical framework applicable to broader classes of nonlocal problems.

Abstract

We show the existence of solution for some classes of nonlocal problems. Our proof combines the presence of sub and supersolution with the pseudomonotone operators theory.