Compactness of immersions with local Lipschitz representation

被引:5
作者
Breuning, Patrick [1 ]
机构
[1] Goethe Univ Frankfurt, Inst Math, D-60325 Frankfurt, Germany
来源
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2012年 / 29卷 / 04期
关键词
D O I
10.1016/j.anihpc.2012.02.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider immersions admitting uniform representations as a lambda-Lipschitz graph. In codimension 1, we show compactness for such immersions for arbitrary fixed lambda < infinity and uniformly bounded volume. The same result is shown in arbitrary codimension for lambda <= 1/4. (C) 2012 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:545 / 572
页数:28
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