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.
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页码：910 / 926
页数：17
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