Positive solutions of the p-Laplace equation with singular nonlinearity

被引：47

作者：

Mohammed, Ahmed ^{[1
]}

机构：

[1] Ball State Univ, Dept Math Sci, Muncie, IN 47306 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 352卷 / 01期

关键词：

p-Laplacian; Singular boundary value problem; Comparison principle; ELLIPTIC-EQUATIONS; EXISTENCE; REGULARITY;

D O I：

10.1016/j.jmaa.2008.06.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a given bounded domain Omega in R-n with C-1,C-pi boundary for some 0 < pi < 1, and a possibly singular nonlinearity f on Omega x (0, infinity), we give sufficient conditions on f so that the p-Laplace equation -Delta(p)u = f(x, u) admits a solution u is an element of W-0(1,p) (Omega). On the basis of a comparison principle we will give a sufficient condition under which such a problem admits a unique solution. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：234 / 245

页数：12

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