Positive solutions for nonlinear Neumann problems with singular terms and convection

Abstract

We consider a nonlinear Neumann problem driven by the $p$-Laplacian. In the reaction term 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.

References in corpus (1)

• Pairs of positive solutions for resonant singular equations with the $p$-Laplacian

Cited by in corpus (1)

• Principal eigenvalue and positive solutions for Fractional $P-Q$ Laplace operator in quantum field theory