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.

中文翻译：

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具有奇异项和对流的非线性Neumann问题的正解

我们考虑由p -Laplacian驱动的非线性Neumann问题。在反应中，我们具有奇异和对流项的竞争效应。使用基于Leray-Schauder替代原理的拓扑方法以及适当的截断和比较技术，我们证明了该问题具有正的光滑解。