Asymptotic behavior of positive solutions of a semilinear Dirichlet problem

Safa Dridi; Bilel Khamessi; Sameh Turki; Zagharide Zine El Abidine

Asymptotic behavior of positive solutions of a semilinear Dirichlet problem

Safa Dridi^*
, Bilel Khamessi
, Sameh Turki
, Zagharide Zine El Abidine

^*Corresponding author for this work

Department of Basic Sciences

Université de Tunis El Manar

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper, we are concerned with the existence, uniqueness and the asymptotic behavior of a positive solution to the following semilinear differential problem. Here σ < 1, q is a positive function in C_loc^γ((0,1)), 0 < γ < 1, satisfying an appropriate assumption related to Karamata regular variation theory and A is a positive differentiable function on (0,1) such that where c is a positive constant and α₁,α₂ < 1.

Original language	English
Pages (from-to)	87-103
Number of pages	17
Journal	Nonlinear Studies
Volume	22
Issue number	1
State	Published - 2015

Keywords

Asymptotic behavior
Dirichlet problem
Green function
Positive solution

Cite this

@article{f3602341854741fe8653d08cbbcd8307,

title = "Asymptotic behavior of positive solutions of a semilinear Dirichlet problem",

abstract = "In this paper, we are concerned with the existence, uniqueness and the asymptotic behavior of a positive solution to the following semilinear differential problem. Here σ < 1, q is a positive function in Clocγ((0,1)), 0 < γ < 1, satisfying an appropriate assumption related to Karamata regular variation theory and A is a positive differentiable function on (0,1) such that where c is a positive constant and α1,α2 < 1.",

keywords = "Asymptotic behavior, Dirichlet problem, Green function, Positive solution",

author = "Safa Dridi and Bilel Khamessi and Sameh Turki and \{El Abidine\}, \{Zagharide Zine\}",

note = "Publisher Copyright: {\textcopyright} CSP - Cambridge, UK; I\&S - Florida, USA, 2015.",

year = "2015",

language = "English",

volume = "22",

pages = "87--103",

journal = "Nonlinear Studies",

issn = "1359-8678",

number = "1",

}

TY - JOUR

T1 - Asymptotic behavior of positive solutions of a semilinear Dirichlet problem

AU - Dridi, Safa

AU - Khamessi, Bilel

AU - Turki, Sameh

AU - El Abidine, Zagharide Zine

N1 - Publisher Copyright: © CSP - Cambridge, UK; I&S - Florida, USA, 2015.

PY - 2015

Y1 - 2015

N2 - In this paper, we are concerned with the existence, uniqueness and the asymptotic behavior of a positive solution to the following semilinear differential problem. Here σ < 1, q is a positive function in Clocγ((0,1)), 0 < γ < 1, satisfying an appropriate assumption related to Karamata regular variation theory and A is a positive differentiable function on (0,1) such that where c is a positive constant and α1,α2 < 1.

AB - In this paper, we are concerned with the existence, uniqueness and the asymptotic behavior of a positive solution to the following semilinear differential problem. Here σ < 1, q is a positive function in Clocγ((0,1)), 0 < γ < 1, satisfying an appropriate assumption related to Karamata regular variation theory and A is a positive differentiable function on (0,1) such that where c is a positive constant and α1,α2 < 1.

KW - Asymptotic behavior

KW - Dirichlet problem

KW - Green function

KW - Positive solution

UR - https://www.scopus.com/pages/publications/84924533762

M3 - Article

AN - SCOPUS:84924533762

SN - 1359-8678

VL - 22

SP - 87

EP - 103

JO - Nonlinear Studies

JF - Nonlinear Studies

IS - 1

ER -

Asymptotic behavior of positive solutions of a semilinear Dirichlet problem

Abstract

Keywords

Other files and links

Fingerprint

Cite this