Stationary biharmonic maps from Rm into a Riemannian manifold

被引：57

作者：

Wang, CY ^{[1
]}

机构：

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2004年 / 57卷 / 04期

关键词：

D O I：

10.1002/cpa.3045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For m greater than or equal to 5, we prove that a stationary extrinsic (or intrinsic) biharmonic map u is an element of W-2,W-2(Omega, N) from Omega subset of R-m into a Riemannian manifold N is smooth away from a closed set of (m - 4)-dimensional Hausdorff measure zero. (C) 2004 Wiley Periodicals, Inc.

引用

页码：419 / 444

页数：26

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