Asymptotic Behavior of Positive Solutions of a Nonlinear Combined p-Laplacian Equation

被引：0

作者：

Maagli, Habib ^{[1
]}

Chemmam, Rym ^{[2
]}

Ben Othman, Sonia ^{[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：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2014年 / 11卷 / 03期

关键词：

p-Laplacian; asymptotic behavior; positive solutions; sub and super solution; GROUND-STATE SOLUTIONS; ELLIPTIC-EQUATIONS; RADIAL SOLUTIONS; SINGULAR P; EXISTENCE;

D O I：

10.1007/s00009-013-0368-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For p > 1, we establish existence and asymptotic behavior of a positive continuous solution to the following boundary value problem where is a positive differentiable function and a (1), a (2) are two positive functions in satisfying some appropriate assumptions related to Karamata regular variation theory. Also, we obtain an uniqueness result when . Our arguments combine a method of sub and supersolutions with Karamata regular variation theory.

引用

页码：857 / 872

页数：16

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