Solutions for a Nonlocal Elliptic System with General Growth

This manuscript explores the existence of solutions for a quasilinear nonlocal system that incorporates the p -Laplacian operator. The system considered arise in relevant applications including Population Dynamics, nuclear reactor dynamics, flow of fluids in a homogeneous isotropic rigid porous medium, and vibration problems. The arguments presented in this manuscript rely on Schauder’s Fixed Point Theorem and sub-supersolutions. The obtained results complete some classical and recent results and allow to consider superlinear growth conditions in the nonlocal terms.