Radial solutions for the p-Laplacian equation

被引：7

作者：

Bachar, Imed ^{[1
]}

Ben Othman, Sonia ^{[1
]}

Maagli, Habib ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 06期

关键词：

p-Laplacian; Positive solutions; Schauder's fixed point theorem; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.na.2008.02.119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of positive solutions of the following nonlinear equation: 1/A(A Phi (p)(u'))' = (.,u), in (0, omega), where p > 1, omega is an element of (0, infinity], Phi(p)(x) = x vertical bar x vertical bar(p-2) and A satisfies some appropriate conditions. Our purpose is to give two existence results for the above equation subject to some boundary conditions, where the nonlinear term phi is a nonnegative continuous function in [0, omega) x (0, infinity), satisfying some adequate hypotheses. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2198 / 2205

页数：8

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