POSITIVE SOLUTIONS OF SINGULAR MULTIPARAMETER p-LAPLACIAN ELLIPTIC SYSTEMS

被引:8
|
作者
Feng, Meiqiang [1 ]
Zhang, Yichen [1 ]
机构
[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 02期
基金
北京市自然科学基金;
关键词
Singular p-Laplacian systems; positive solutions; uniqueness and ap-proximation; existence and asymptotic behavior; sub-sup ersolution method; BOUNDARY-VALUE-PROBLEMS; RADIAL SOLUTIONS; CONVEX SOLUTIONS; EXISTENCE; UNIQUENESS; MULTIPLICITY; EXTERIOR;
D O I
10.3934/dcdsb.2021083
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, by using the eigenvalue theory, the sub-sup ersolution method and the fixed point theory, we prove the existence, multiplicity, unique-ness, asymptotic behavior and approximation of positive solutions for singu-lar multiparameter p-Laplacian elliptic systems on nonlinearities with separate variables or without separate variables. Various nonexistence results of positive solutions are also studied.
引用
收藏
页码:1121 / 1147
页数:27
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