Nonexistence of positive solutions for a class of p-Laplacian boundary value problems

被引：3
|
作者：
Hai, D. D. [1 ]
机构：
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
来源：
APPLIED MATHEMATICS LETTERS | 2014年 / 31卷
关键词：
p-Laplacian; p-superlinear; Positive solutions; Nonexistence; ELLIPTIC-EQUATIONS; RADIAL SOLUTIONS;
D O I：
10.1016/j.aml.2013.12.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the nonexistence of positive radial solutions for the problem {-Delta(p)u = lambda f(u) in Omega, u = 0 on partial derivative Omega, where Delta(p) denotes the p-Laplacian, p > 1, Omega is a ball or an annulus in R-N, N > 1, f : [0, infinity) -> R is at least p-linear, f (0) < 0, and is not required to be increasing or to have exactly one zero. Our results extend previous nonexistence results in the literature. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：12 / 15
页数：4
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