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.
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收藏
页数：11
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