Positive solutions for nonlinear Neumann problems with singular terms and convection
Analysis of PDEs
2020-04-21 v1
Abstract
We consider a nonlinear Neumann problem driven by the -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.
Cite
@article{arxiv.2004.09192,
title = {Positive solutions for nonlinear Neumann problems with singular terms and convection},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2004.09192},
year = {2020}
}