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 (2)

• Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient
• Pairs of positive solutions for resonant singular equations with the $p$-Laplacian

Cited by in corpus (3)

• Anisotropic $(p,q)$-equations with gradient dependent reaction
• Principal eigenvalue and positive solutions for Fractional $P-Q$ Laplace operator in quantum field theory
• A class of elliptic mixed boundary value problems with $(p,q)$-Laplacian: existence, comparison and optimal control