Liouville theorems for stable at infinity solutions of Lane-Emden system

被引：11

作者：

Mtiri, Foued ^{[1
]}

Ye, Dong ^{[2
]}

机构：

[1] Univ Tunis El Manar, ANLIG, UR13ES32, El Manar II 2092, Tunisia

[2] Univ Lorraine, UMR 7502, IECL, 3 Rue Augustin Fresnel, F-57073 Metz, France

来源：

NONLINEARITY | 2019年 / 32卷 / 03期

关键词：

Lane-Emden system; stable solutions; stability outside a compact set; m-bihannonic equation; EQUATION; CLASSIFICATION;

D O I：

10.1088/1361-6544/aaf078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Lane-Emden system -Delta u = v(p), = Delta v = u(theta) in R-N, and we prove the nonexistence of smooth positive solutions which are stable outside a compact set, for any p, theta > 0 under the Sobolev hyperbola.

引用

页码：910 / 926

页数：17

共 50 条

[1] LIOUVILLE THEOREMS FOR STABLE SOLUTIONS OF THE WEIGHTED LANE-EMDEN SYSTEM
Hajlaoui, Hatem
Harrabi, Abdellaziz
Mtiri, Foued
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (01) : 265 - 279
[2] LIOUVILLE TYPE THEOREMS FOR STABLE SOLUTIONS OF THE WEIGHTED FRACTIONAL LANE-EMDEN SYSTEM
Hajlaoui, Hatem
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, : 5665 - 5681
[3] Liouville theorems for stable Lane-Emden systems and biharmonic problems
Cowan, Craig
NONLINEARITY, 2013, 26 (08) : 2357 - 2371
[4] NONEXISTENCE OF STABLE SOLUTIONS OF THE WEIGHTED LANE-EMDEN SYSTEM
Chen, Huantong
Tao, Bo
Ye, Danting
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (06): : 2133 - 2142
[5] Liouville-type theorems and existence results for stable solutions to weighted Lane-Emden equations
Farina, Alberto
Hasegawa, Shoichi
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2020, 150 (03) : 1567 - 1579
[6] Liouville theorems for the weighted Lane-Emden equation with finite Morse indices
Chen, Caisheng
Wang, Hui
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (13) : 4674 - 4682
[7] A NEW CRITICAL CURVE FOR THE LANE-EMDEN SYSTEM
Chen, Wenjing
Dupaigne, Louis
Ghergu, Marius
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (06) : 2469 - 2479
[8] Asymptotically homogeneous solutions of the supercritical Lane-Emden system
Dupaigne, Louis
Ghergu, Marius
Hajlaoui, Hatem
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2025, 64 (04)
[9] STABLE SOLUTIONS TO WEIGHTED QUASILINEAR PROBLEMS OF LANE-EMDEN TYPE
Phuong Le
Vu Ho
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[10] Entire nodal solutions to the critical Lane-Emden system
Clapp, Monica
Saldana, Alberto
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2020, 45 (04) : 285 - 302

← 1 2 3 4 5 →