Asymptotic Behavior of Ground State Solutions of Some Combined Nonlinear Problems

被引：6

作者：

Chemmam, Rym ^{[1
]}

机构：

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

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2013年 / 10卷 / 03期

关键词：

Green function; asymptotic behavior; Dirichlet problem; subsolution; supersolution; BOUNDARY; EXISTENCE; EQUATIONS;

D O I：

10.1007/s00009-013-0247-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider in this paper the existence and the asymptotic behavior of positive ground state solutions of the boundary value problem -Delta u = a(1)(x)u(alpha 1) + a(2)(x)u(alpha 2) in R-n, lim(|x|->infinity) u(x) = 0, where alpha(1), alpha(2) < 1 and alpha(1), alpha(2) are nonnegative functions in C-loc(gamma) (R-n), 0 < gamma < 1, satisfying some appropriate assumptions related to Karamata regular variation theory.

引用

页码：1259 / 1272

页数：14

共 24 条

[21] Structure of ground state solutions of singular semilinear elliptic equations [J].