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.

引用

页数：7

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