A Remark on the Generalized Second Order Toda System

被引：0
|
作者：
Rui Chang PEI
机构：
[1] SchoolofMathematicsandStatistics,TianshuiNormalUniversity
来源：
ActaMathematicaSinica | 2013年 / 29卷 / 09期
关键词：
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper, we establish a priori estimates to the generalized second order Toda system{-Δu1(x)=2R1(x)eu1-R2eu2,-Δu2(x)=R1(x)eu1+2R2eu2 in R2 , and discuss the convergence and asymptotic behavior of its solutions, where Ri(x), i=1, 2, is bounded function in R2 . Consequently, we prove that all the solutions satisfy an identity, which is somewhat a generalization of the well-known Kazdan-Warner condition.
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收藏
页码：1691 / 1702
页数：12
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