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

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