On the existence of a positive solution to a nonlocal logistic system with nonlinear advection terms

Willian Cintra, Romildo Lima, Mayra Soares

In this paper, we study a nonlocal logistic system with nonlinear advection terms \begin{equation*} \left\{ \begin{array}{lcl} -Δu+\vecα(x)\cdot \nabla (|u|^{p-1}u)&=&\left(a-\int_…