ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS FOR THE RADIAL P-LAPLACIAN EQUATION

被引：0

作者：

Ben Othman, Sonia ^{[1
]}

Maagli, Habib ^{[2
]}

机构：

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

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

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

p-Laplacian; asymptotic behavior; positive solutions; Schauder's fixed point theorem; BOUNDARY-VALUE-PROBLEMS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence, uniqueness and asymptotic behavior of positive solutions to the nonlinear problem 1/A(A Phi(p)(u'))' + q(x)u(alpha) = 0, in (0, 1), lim(x -> 0) A Phi(p)(u')(x) = 0, u(1) = 0, where alpha < p - 1, Phi(p)(t) = t vertical bar t vertical bar p(-2), A is a positive differentiable function and q is a positive measurable function in (0, 1) such that for some c > 0, 1/c <= q(x)(1 - x)(beta) exp ( - integral(eta)(1-x) z(s)/s ds) <= c. Our arguments combine monotonicity methods with Karamata regular variation theory.

引用

页数：10

共 20 条

[1]

Agarwal R. P., 2003, MEMOIRS DIFFERENTIAL, V28, P13

[2] Eigenvalues and the one-dimensional p-Laplacian [J].