Positive solutions for nonlinear Neumann problems with singular terms and convection

By Nikolaos S. Papageorgiou, Vicentiu D. Rădulescu, Dušan D. Repovš. Journal des Mathématiques Pures et Appliquées, 2020

58 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/26835e191b981d6e60134c0f1a7685d150fe8b9d

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In Applied Mathematics

1. Vo Van Au
2. Nguyen Huy Tuan
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1. Nguyen Huy Tuan
2. Runzhang Xu

Citations in the corpus

• Semilinear Caputo time-fractional pseudo-parabolic equations (2021, background): “PDEs with logarithmic nonlinearity have attracted many authors with many interesting results, for instance, [43, 15, 42, 57, 14, 35, 34] and the references therein.”