LIOUVILLE TYPE THEOREM FOR HIGHER ORDER HARDY-HENON SYSTEM OF INEQUALITIES

被引：2

作者：

Min, Li-Hua ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Sci, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 04期

关键词：

Higher order; Liouville type theorem; system of inequalities; test function method; BLOW-UP; SUPERLINEAR PROBLEMS; POSITIVE SOLUTIONS; EQUATIONS; SINGULARITY; EXISTENCE; BOUNDS;

D O I：

10.7153/mia-17-105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove some new Liouville type theorems for fourth order and more general higher order Hardy-Henon systems of inequalities. The test function method is applied to show the nonexistence of nontrivial nonnegative global solutions, which improve and extend some recent results.

引用

页码：1427 / 1439

页数：13

共 50 条

[21] A Liouville-Type Theorem for Higher-Order Parabolic Inequalities and Its Applications
Yu Lan WANG1
2. School of Mathematical Science
Journal of Mathematical Research with Applications, 2011, (05) : 930 - 936
[22] Radial and non radial solutions for Hardy-Henon type elliptic systems
Calanchi, Marta
Ruf, Bernhard
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 38 (1-2) : 111 - 133
[23] NONEXISTENCE OF POSITIVE SOLUTIONS FOR HIGH-ORDER HARDY-HeNON SYSTEMS ON Rn
Zhang, Rong
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (08) : 2857 - 2872
[24] Nonexistence of anti-symmetric solutions for fractional Hardy-Henon system
Hu, Jiaqi
Du, Zhuoran
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2024, 154 (03) : 862 - 886
[25] Liouville-Type Theorems for Fractional and Higher-Order Henon-Hardy Type Equations via the Method of Scaling Spheres
Dai, Wei
Qin, Guolin
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (11) : 9001 - 9070
[26] Fujita type results for a quasilinear parabolic inequality of Hardy-Henon type with time forcing terms?
Zhou, Jun
Zhu, Fan
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 126
[27] A LIOUVILLE-TYPE THEOREM FOR HIGHER ORDER ELLIPTIC SYSTEMS
Arthur, Frank
Yan, Xiaodong
Zhao, Mingfeng
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (09) : 3317 - 3339
[28] A Liouville-type theorem for higher order elliptic systems
Yan, Xiaodong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (01) : 153 - 165
[29] Liouville type theorem for higher-order elliptic system with Navier boundary condition
Weiwei Zhao
Jinge Yang
Sining Zheng
Nonlinear Differential Equations and Applications NoDEA, 2015, 22 : 311 - 324
[30] Liouville type theorem for higher-order elliptic system with Navier boundary condition
Zhao, Weiwei
Yang, Jinge
Zheng, Sining
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2015, 22 (02): : 311 - 324

← 1 2 3 4 5 →