Quasilinear elliptic systems with convex-concave singular terms $\Phi\!-\!Laplacian$ operator

TL;DR

This paper establishes the existence of positive solutions for quasilinear elliptic systems involving the $\

Contribution

It introduces a novel approach combining Galerkin methods, perturbation techniques, and comparison principles in Orlicz-Sobolev spaces for systems with singular terms.

Findings

Proves existence of positive solutions under certain conditions.

Develops a framework for handling convex-concave singularities.

Extends results to $\

Abstract

This paper deals with existence of positive solutions for a class of quasilinear elliptic systems involving the $\Phi$-Laplacian operator and convex-concave singular terms. Our approach is based on the generalized Galerkin Method along with perturbartion techniques and comparison arguments in the setting of Orlicz-Sobolev spaces