POSITIVE SOLUTIONS OF SINGULAR MULTIPARAMETER p-LAPLACIAN ELLIPTIC SYSTEMS
被引:8
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作者:
Feng, Meiqiang
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h-index: 0
机构:
Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R ChinaBeijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
Feng, Meiqiang
[1
]
Zhang, Yichen
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机构:
Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R ChinaBeijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
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
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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.
机构:
Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, ItalyUniv Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy
Guarnotta, Umberto
Livrea, Roberto
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机构:
Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, ItalyUniv Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy
Livrea, Roberto
Marano, Salvatore A.
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机构:
Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, ItalyUniv Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy
机构:
King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
Alsaedi, Ahmed
Luca, Rodica
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机构:
Gh Asachi Tech Univ, Dept Math, 11 Blvd Carol I, Iasi 700506, RomaniaKing Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
Luca, Rodica
Ahmad, Bashir
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h-index: 0
机构:
King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia