Singular quasilinear elliptic systems in $\mathbb{R}^N$

TL;DR

This paper proves the existence of positive weak solutions for a class of singular quasilinear elliptic systems in the entire space using a priori estimates and fixed point theory.

Contribution

It introduces a novel approach to establish solutions for singular quasilinear elliptic systems in unbounded domains.

Findings

Existence of positive weak solutions proven

Method applicable to a broad class of systems

Utilizes Schauder's fixed point theorem effectively

Abstract

The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point theorem.