BIFURCATION OF POSITIVE SOLUTIONS FOR THE ONE-DIMENSIONAL (p, q)-LAPLACE EQUATION

被引：0
|
作者：
Kajikiya, Ryuji [1 ]
Tanaka, Mieko [2 ]
Tanaka, Satoshi [3 ]
机构：
[1] Saga Univ, Fac Sci & Engn, Dept Math, Saga 8408502, Japan
[2] Tokyo Univ Sci, Dept Math, Shinjyuku Ku, Kagurazaka 1-3, Tokyo 1628601, Japan
[3] Okayama Univ Sci, Fac Sci, Dept Appl Math, Okayama 700005, Japan
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年
关键词：
Bifurcation; positive solution; (p; q)-Laplace equation; time map; multiple solutions; EXACT MULTIPLICITY; NODAL SOLUTIONS; EXISTENCE; DIAGRAMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the bifurcation of positive solutions for the one-dimensional (p, q)-Laplace equation under Dirichlet boundary conditions. We investigate the shape of the bifurcation diagram and prove that there exist five different types of bifurcation diagrams. As a consequence, we prove the existence of multiple positive solutions and show the uniqueness of positive solutions for a bifurcation parameter in a certain range.
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页数：37
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