Existence and Nonexistence of Solutions to p-Laplacian Problems on Unbounded Domains

被引：3

作者：

Jeong, Jeongmi ^{[1
]}

Kim, Chan-Gyun ^{[2
]}

Lee, Eun Kyoung ^{[2
]}

机构：

[1] Pusan Natl Univ, Dept Math, Busan 609735, South Korea

[2] Pusan Natl Univ, Dept Math Educ, Busan 609735, South Korea

来源：

MATHEMATICS | 2019年 / 7卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

p-Laplacian; multiplicity of positive solutions; exterior domain; POSITIVE SOLUTIONS; EXACT MULTIPLICITY; RADIAL SOLUTIONS; EXTERIOR; EQUATIONS; EIGENVALUES;

D O I：

10.3390/math7050438

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, using a fixed point index theorem on a cone, we prove the existence and multiplicity results of positive solutions to a one-dimensional p-Laplacian problem defined on infinite intervals. We also establish the nonexistence results of nontrivial solutions to the problem.

引用

页数：11

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