Existence of solutions for a class of singular elliptic systems with convection term

TL;DR

This paper proves the existence of positive solutions for a class of singular elliptic systems with convection terms using advanced mathematical techniques.

Contribution

It introduces a novel combination of pseudomonotone operator theory, sub and supersolution methods, and perturbation arguments to handle singular terms.

Findings

Existence of positive solutions established

Method effectively handles singular elliptic systems with convection

Provides a framework for future research in similar nonlinear systems

Abstract

We show the existence of positive solutions for a class of singular elliptic systems with convection term. The approach combines pseudomonotone operator theory, sub and supersolution method and perturbation arguments involving singular terms.