# Singular quasilinear elliptic systems involving gradient terms

## TL;DR

This paper proves the existence of smooth positive solutions for a class of singular quasilinear elliptic systems that include gradient terms, using a combination of sub-supersolutions and Schauder's fixed point theorem.

## Contribution

It introduces a novel approach combining sub-supersolutions and Schauder's theorem to handle singular quasilinear elliptic systems with gradient terms.

## Key findings

- Existence of smooth positive solutions established
- Method applicable to singular systems with gradient dependence
- Framework extends previous results in elliptic systems

## Abstract

In this paper we establish existence of smooth positive solutions for a singular quasilinear elliptic system involving gradient terms. The approach combines sub-supersolutions method and Schauder's fixed point theorem.