Singular quasilinear convective systems involving variable exponents

TL;DR

This paper investigates the existence of solutions for complex quasilinear elliptic systems with variable exponents, singularities, and convection terms, using a combination of sub-supersolutions and fixed point methods.

Contribution

It introduces a novel approach combining sub-supersolutions and Schauder's fixed point theorem for such systems with variable exponents.

Findings

Existence of solutions established for the systems.

Method successfully handles singular and convection terms.

Applicable to a broad class of variable exponent problems.

Abstract

The paper deals with the existence of solutions for quasilinear elliptic systems involving singular and convection terms with variable exponents. Our approach combines the sub-supersolutions method and Schauder's fixed point theorem.