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.

引用

页码：12 / 15

页数：4

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