Journal
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
Volume 136, Issue -, Pages 1-21Publisher
ELSEVIER
DOI: 10.1016/j.matpur.2020.02.004
Keywords
Singular term; Convection term; Nonlinear regularity; Nonlinear maximum principle; Leray-Schauder alternative theorem; Fixed point theory
Categories
Funding
- Slovenian Research Agency [P1-0292, J1-8131, N1-0064, N1-0083, N1-0114]
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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.
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