GLOBAL BIFURCATION RESULT FOR DISCRETE BOUNDARY VALUE PROBLEM INVOLVING THE MEAN CURVATURE OPERATOR

被引：1
|
作者：
Ye, Fumei [1 ]
Han, Xiaoling [1 ]
机构：
[1] Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 05期
关键词：
Singular phi-Laplacian; interval bifurcation; difference equation; NONLINEAR DIFFERENCE-EQUATIONS; POSITIVE SOLUTIONS; PHI-LAPLACIAN; EXISTENCE;
D O I：
10.11948/20200386
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by applying bifurcation technique, we obtain that there are two distinct unbounded continua C-k(+) and C-k(-) for a class of discrete Dirichlet problem involving the mean curvature operator which bifurcate from intervals of the line of trivial solutions. Under some suitable conditions on nonlinear term near at the origin, we will show the existence and multiplicity of nontrivial solutions.
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页码：2355 / 2362
页数：8
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