Asymptotic behavior of positive solutions of a semilinear Dirichlet problem outside the unit ball

Habib Mâagli; Sameh Turki; Zagharide Zine El Abidine

Asymptotic behavior of positive solutions of a semilinear Dirichlet problem outside the unit ball

Habib Mâagli
, Sameh Turki
, Zagharide Zine El Abidine

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

Abstract

In this article, we are concerned with the existence, uniqueness and asymptotic behavior of a positive classical solution to the semilinear boundary-value problem Here D is the complement of the closed unit ball of ℝⁿ(n≥3), σ< 1 and the function a is a nonnegative function in C^γ_loc(D), 0< γ, satisfying some appropriate assumptions related to Karamata regular variation theory.

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2013
State	Published - 11 Apr 2013
Externally published	Yes

Keywords

Asymptotic behavior
Dirichlet problem
Subsolution
Supersolution

Cite this

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title = "Asymptotic behavior of positive solutions of a semilinear Dirichlet problem outside the unit ball",

abstract = "In this article, we are concerned with the existence, uniqueness and asymptotic behavior of a positive classical solution to the semilinear boundary-value problem Here D is the complement of the closed unit ball of ℝn(n≥3), σ< 1 and the function a is a nonnegative function in Cγloc(D), 0< γ, satisfying some appropriate assumptions related to Karamata regular variation theory.",

keywords = "Asymptotic behavior, Dirichlet problem, Subsolution, Supersolution",

author = "Habib M{\^a}agli and Sameh Turki and \{El Abidine\}, \{Zagharide Zine\}",

year = "2013",

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language = "English",

volume = "2013",

journal = "Electronic Journal of Differential Equations",

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AU - Mâagli, Habib

AU - Turki, Sameh

AU - El Abidine, Zagharide Zine

PY - 2013/4/11

Y1 - 2013/4/11

N2 - In this article, we are concerned with the existence, uniqueness and asymptotic behavior of a positive classical solution to the semilinear boundary-value problem Here D is the complement of the closed unit ball of ℝn(n≥3), σ< 1 and the function a is a nonnegative function in Cγloc(D), 0< γ, satisfying some appropriate assumptions related to Karamata regular variation theory.

AB - In this article, we are concerned with the existence, uniqueness and asymptotic behavior of a positive classical solution to the semilinear boundary-value problem Here D is the complement of the closed unit ball of ℝn(n≥3), σ< 1 and the function a is a nonnegative function in Cγloc(D), 0< γ, satisfying some appropriate assumptions related to Karamata regular variation theory.

KW - Asymptotic behavior

KW - Dirichlet problem

KW - Subsolution

KW - Supersolution

UR - https://www.scopus.com/pages/publications/84876224077

M3 - Article

AN - SCOPUS:84876224077

SN - 1550-6150

VL - 2013

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Asymptotic behavior of positive solutions of a semilinear Dirichlet problem outside the unit ball

Abstract

Keywords

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