Yunru Bai, Leszek Gasinski, Nikolaos S. Papageorgiou
Abstract:
We consider a nonlinear Dirichlet elliptic problem driven by the
p-Laplacian. In the reaction term of the equation we have the combined
effects of a singular term and a convection term.
Using a topological approach based on the fixed point theory
(the Leray-Schauder alternative principle),
we prove the existence of a positive smooth solution.
Submitted November 12, 2018. Published May 3, 2019.
Math Subject Classifications: 35J92, 35P30.
Key Words: Singular term; convection term; strong comparison;
Leray-Schauder alternative principle.
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| Yunru Bai Jagiellonian University Faculty of Mathematics and Computer Science ul. Lojasiewicza 6 30-348 Krakow, Poland email: yunrubai@163.com |
| Leszek Gasinski Department of Mathematics Pedagogical University of Cracow Podchorazych 2, 30-084 Cracow, Poland email: leszek.gasinski@up.krakow.pl |
| Nikolaos S. Papageorgiou National Technical University Department of Mathematics, Zografou Campus Athens 15780, Greece email: npapg@math.ntua.gr |
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