Positive solutions for nonlinear Neumann problems with singular terms and convection

We consider a nonlinear Neumann problem driven by the p-Laplacian. In the reaction we have the competing effects of a singular and a convection term. Using a topological approach based on the Leray-Schauder alternative principle together with suitable truncation and comparison techniques, we show that the problem has positive smooth solutions. (C) 2020 Elsevier Masson SAS. All rights reserved.