Nonlinear Dirichlet problems with the combined effects of singular and convection terms
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Date
2019-05-03
Authors
Bai, Yunru
Gasinski, Leszek
Papageorgiou, Nikolaos S.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Singular term, Convection term, Strong comparison, Leray-Schauder alternative principle
Citation
Bai, Y., Gasinski, L., & Papageorgiou, N. S. (2019). Nonlinear Dirichlet problems with the combined effects of singular and convection terms. <i>Electronic Journal of Differential Equations, 2019</i>(57), pp. 1-13.
Rights
Attribution 4.0 International