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Existence and Global Asymptotic Behavior of Singular Positive Solutions for Radial Laplacian
Joint Authors
Mesloub, Said
Bachar, Imed
Mâagli, Habib
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The aim of this paper is to establish existence and uniqueness of a positive continuous solution to the following singular nonlinear problem.
{-t1-ntn-1u′′=a(t)uσ, t∈(0,1), limt→0tn-1u′(t)=0, u(1)=0}, where n≥3,σ<1, and a denotes a nonnegative continuous function that might have the property of being singular at t=0 and /or t=1 and which satisfies certain condition associated to Karamata class.
We emphasize that the nonlinearity might also be singular at u=0, while the solution could blow-up at 0.
Our method is based on the global estimates of potential functions and the Schauder fixed point theorem.
American Psychological Association (APA)
Bachar, Imed& Mâagli, Habib& Mesloub, Said. 2019. Existence and Global Asymptotic Behavior of Singular Positive Solutions for Radial Laplacian. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1174739
Modern Language Association (MLA)
Bachar, Imed…[et al.]. Existence and Global Asymptotic Behavior of Singular Positive Solutions for Radial Laplacian. Journal of Function Spaces No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1174739
American Medical Association (AMA)
Bachar, Imed& Mâagli, Habib& Mesloub, Said. Existence and Global Asymptotic Behavior of Singular Positive Solutions for Radial Laplacian. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1174739
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174739