ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS OF A SEMILINEAR DIRICHLET PROBLEM OUTSIDE THE UNIT BALL

被引：0

作者：

Maagli, Habib ^{[1
]}

Turki, Sameh ^{[2
]}

El Abidine, Zagharide Zine ^{[2
]}

机构：

[1] King Abdulaziz Univ, Coll Arts & Sci, Dept Math, Rabigh 21911, Saudi Arabia

[2] Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Asymptotic behavior; Dirichlet problem; subsolution; supersolution; ELLIPTIC-EQUATIONS; BOUNDARY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we are concerned with the existence, uniqueness and asymptotic behavior of a positive classical solution to the semilinear boundary-value problem -Delta u = a(x)u(sigma) in D, lim(vertical bar x vertical bar -> 1) u(x) = lim(vertical bar x vertical bar ->infinity) u(x) = 0. Here D is the complement of the closed unit ball of R-n (n >= 3), sigma < 1 and the function alpha is a nonnegative function in C-loc(gamma)(D), 0 < gamma < 1, satisfying some appropriate assumptions related to Karamata regular variation theory.

引用

页数：14

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