A singular boundary value problem for the one-dimensional p-Laplacian

被引：64

作者：

Wang, JY

Gao, WJ

机构：

[1] Department of Mathematics, Jilin University

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 201卷 / 03期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1006/jmaa.1996.0288

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The singular boundary value problem [GRAPHICS] is studied in this paper where g(s) = \s\(p-2)s, p > 1 The singularity may appear at u = 0 and at t = 0 or t = 1 and the function f may be discontinuous. The authors prove that for any p > 1 and for any positive, nonincreasing function f and nonnegative measurable function k with some integrability conditions, the above-mentioned problem has a unique solution. Also, the properties of the solution are discussed in the paper. (C) 1996 Academic Press, Inc.

引用

页码：851 / 866

页数：16

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