Nonexistence of positive solutions for polyharmonic systems in RN

被引：0

作者：

Guo, Yuxia

Liu, Jiaquan ^{[1
]}

Zhang, Yajing

机构：

[1] Tsing Hua Univ, Dept Math, Beijing 100084, Peoples R China

[2] Peking Univ, Sch Math, LMAM, Beijing 1000871, Peoples R China

来源：

ADVANCED NONLINEAR STUDIES | 2007年 / 7卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to the nonexistence of positive solutions for polyharmonic systems [GRAPHICS] By using the method of moving plane combined with integral inequalities and Hardy's inequality, we prove some new Liouville type theorems for the above semilinear polyharmonic systems in R-N.

引用

下载

页码：381 / 402

页数：22

共 50 条

[41] Nonexistence theorems for positive solutions of delay hyperbolic systems with impulses and their applications
Cui, Bao-Tong
Liu, Yong-Qing
Deng, Fei-Qi
Huanan Ligong Daxue Xuebao/Journal of South China University of Technology (Natural Science), 2002, 30 (07):
[42] EXISTENCE AND NONEXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS
ZHONG Jinbiao CHEN Zuchi(Department of Mathematics
Journal of Systems Science & Complexity, 2004, (03) : 325 - 331
[43] Existence and Nonexistence of Positive Singular Solutions for a Class of Semilinear Elliptic Systems
Marta García-Huidobro
Raú Manásevich
Enzo Mitidieri
Cecilia S. Yarur
Archive for Rational Mechanics and Analysis, 1997, 140 : 253 - 284
[44] Nonexistence of positive solutions of nonlinear elliptic systems with potentials vanishing at infinity
Bae, Soohyun
Kwon, Ohsang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (10) : 4025 - 4032
[45] MAXIMUM PRINCIPLE AND EXISTENCE OF POSITIVE SOLUTIONS FOR NONLINEAR SYSTEMS ON RN
Serag, Hassan M.
El-Zahrani, Eada A.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[46] Nonexistence of global solutions of higher order evolution inequalities in RN
Caristi, G
NONLINEAR EQUATIONS: METHODS, MODELS AND APPLICATIONS, 2003, 54 : 91 - 105
[47] EXISTENCE OF CONTINUOUS POSITIVE SOLUTIONS FOR SOME NONLINEAR POLYHARMONIC SYSTEMS OUTSIDE THE UNIT BALL
Turki, Sameh
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[48] Existence and nonexistence of positive solutions for second-order time scale systems
Sun, Jian-Ping
Li, Wan-Tong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (10) : 3107 - 3114
[49] The existence and nonexistence of entire positive solutions of semilinear elliptic systems with gradient term
Zhang, Xinguang
Liu, Lishan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 371 (01) : 300 - 308
[50] NONEXISTENCE OF POSITIVE SOLUTIONS FOR A SYSTEMS OF COUPLED FRACTIONAL BVPS WITH p-LAPLACIAN
Rao, S. N.
Meetei, M. Z.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (03): : 597 - 608

← 1 2 3 4 5 →