A LIOUVILLE TYPE RESULT FOR BOUNDED, ENTIRE SOLUTIONS TO A CLASS OF VARIATIONAL SEMILINEAR ELLIPTIC SYSTEMS

被引：0
|
作者：
Sourdis, Christos [1 ]
机构：
[1] Univ Turin, Dept Math, Via Carlo Alberto 10, I-10123 Turin, Italy
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2016年 / 29卷 / 11-12期
关键词：
EQUATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a Liouville type result for bounded, entire solutions to a class of variational semilinear elliptic systems, based on the growth of their potential energy over balls with growing radius. Important special cases to which our result applies are the Ginzburg-Landau system and systems that arise in the study of multi-phase transitions.
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页码：1021 / 1028
页数：8
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