Asymptotic analysis and blow-up rate of radial solutions of a nonlinear elliptic equation including the p-Laplacian operator

Document Type : Original Article

Authors

Arij Bouzelmate ¹

Abderrahim Charkaoui ²

Mohamed El Hathout ¹

¹ Department of Mathematics, LaR2A Laboratory, Faculty of Sciences, Abdelmalek Essaadi University, Tetouan, Morocco

² Department of Mathematics, Interdisciplinary Research Laboratory in Sciences, Education and Training, Higher School of Education and Training Berrechid, Hassan First University, Morocco

10.22034/kjm.2024.437165.3117

Abstract

The aim of this study is to examine a nonlinear elliptic equation subjected to singular boundary conditions. By employing the technics of sub- and super-solutions, we demonstrate that the problem under discussion has only one positive solution and explore the asymptotic behavior of the solution obtained. In addition, we illustrate our theoretical results with some useful examples.

Keywords

Radial solutions

sub- solutions

super- solutions

asymptotic behavior

blow-up

Subjects

• 35 Partial differential equations

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