## Differential and Integral Equations

### Quasilinear elliptic systems convex-concave singular terms and $\Phi$-Laplacian operator

#### Abstract

This paper deals with the 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 perturbation techniques and comparison arguments in the setting of Orlicz-Sobolev spaces.

#### Article information

Source
Differential Integral Equations, Volume 31, Number 3/4 (2018), 231-256.

Dates
First available in Project Euclid: 19 December 2017

Gonçalves, José V.; Carvalho, Marcos L.; Santos, Carlos Alberto. Quasilinear elliptic systems convex-concave singular terms and $\Phi$-Laplacian operator. Differential Integral Equations 31 (2018), no. 3/4, 231--256. https://projecteuclid.org/euclid.die/1513652425