Existence of positive solutions to a nonlinear elliptic system with nonlinearity involving gradient term

Boumediene Abdellaoui, Ahmed Attar, El-Haj Laamri

In this work we analyze the existence of solutions to the nonlinear elliptic system: \begin{equation*} \left\{ \begin{array}{rcll} -Δu & = & v^q+\a g & \text{in }Ω, \\ -Δv& = &|\na…