Positive solutions for nonlinear Neumann problems with singular terms and convection

Papageorgiou, Nikolaos S. (author), Rǎdulescu, Vicenţiu (author), Repovš, Dušan (author)

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.

• Language: English
• Keywords: singular term, convection term, nonlinear regularity, nonlinear maximum principle, Leray-Schauder alternative theorem, fixed point theory
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2020
• Number of pages: Str. 1-21
• Numbering: Vol. 136
• PID: 20.500.12556/RUL-116579
• UDC: 517.956
• ISSN on article: 0021-7824
• DOI: 10.1016/j.matpur.2020.02.004
• COBISS.SI-ID: 18927193
• Publication date in RUL: 28.05.2020

Record is a part of a journal

• Title: Journal de Mathématiques Pures et Appliquées
• Shortened title: J. math. pures appl.
• Publisher: Bachelier
• ISSN: 0021-7824
• COBISS.SI-ID: 25698560