# An elliptic system with logarithmic nonlinearity

## TL;DR

This paper investigates the existence of solutions for elliptic systems with logarithmic nonlinearities involving variable exponent Laplacians, using bifurcation theory and subsupersolution methods.

## Contribution

It introduces a novel approach combining bifurcation theory and subsupersolution methods to handle singular elliptic systems with variable exponent operators.

## Key findings

- Existence results for solutions to the elliptic system
- Application of bifurcation theory to singular systems
- Development of subsupersolution techniques for variable exponent operators

## Abstract

In the present paper we study the existence of solutions for some classes of singular systems involving the p(x) and q(x) Laplacian operators. The approach is based on bifurcation theory and subsupersolution method for systems of quasilinear equations involving singular terms.