Habib Maagli, Abdulah Khamis Alzahrani, Zagharide Zine El Abidine
Abstract:
In this article, we study the existence, uniqueness and the asymptotic
behavior of a positive classical solution to the semilinear boundary
value problem
Here D is an unbounded regular domain in
(
)
with compact boundary,
and the function a is a nonnegative
function in
,
,
satisfying an
appropriate assumption related to Karamata regular variation theory.
Submitted September 20, 2017. Published July 1, 2018.
Math Subject Classifications: 34B16, 34B18, 35B09, 35B40.
Key Words: Positive solutions; asymptotic behavior; Dirichlet problem;
subsolution; supersolution.
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Habib Mâagli King Abdulaziz University College of Sciences and Arts, Rabigh Campus Department of Mathematics. P. O. Box 344 Rabigh 21911, Saudi Arabia email: habib.maagli@fst.rnu.tn |
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Abdulah Khamis Alzahrani King Abdulaziz University, Faculty of Sciences Department of Mathematics. P. O. Box 80203 Jeddah 21589, Saudi Arabia email: akalzahrani@kau.edu.sa | |
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Zagharide Zine El Abidine Université de Tunis El Manar Faculté des Sciences de Tunis UR11ES22 Potentiels et Probabilités 2092 Tunis, Tunisie email: Zagharide.Zinelabidine@ipeib.rnu.tn |
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