论文标题

非线性Neumann问题的积极解决方案,具有单数术语和对流的问题

Positive solutions for nonlinear Neumann problems with singular terms and convection

论文作者

Papageorgiou, Nikolaos S., Rădulescu, Vicenţiu D., Repovš, Dušan D.

论文摘要

我们认为由$ p $ -laplacian驱动的非线性诺伊曼问题。在反应术语中,我们具有单数和对流术语的竞争效果。使用基于Leray-Schauder替代原理的拓扑方法以及合适的截断和比较技术,我们表明该问题具有正平滑的解决方案。

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.

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