WEAK COMPACTNESS OF BIHARMONIC MAPS

被引：0
|
作者：
Zheng, Shenzhou [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年
关键词：
Biharmonic maps; conservation law; weak compactness; PARTIAL REGULARITY; CONSERVATION-LAWS; SINGULAR SET; THEOREM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article shows that if a sequence of weak solutions of a perturbed biharmonic map satisfies Phi(k) -> 0 in (W-2,W-2)* and u(k) -> u weakly in W-2,W-2, then u is a biharmonic map. In particular, we show that the space of biharmonic maps is sequentially compact under the weak-W-2,W-2 topology.
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页数：7
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