Constructing topologically distinct energy-critical curves in the path space of the Euclidean line

被引：1

作者：

Clelland, Jeanne N.

Kossowski, Marek

Wilkens, George R.

机构：

[1] Univ Colorado, Dept Math, Boulder, CO 80309 USA

[2] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

[3] Univ Hawaii Manoa, Dept Math, Honolulu, HI 96822 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 241卷 / 02期

关键词：

differential geometry; differential equations; Euler-Lagrange equations; intermediate differential equations; singular solutions;

D O I：

10.1016/j.jde.2007.05.033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct topologically distinct global, non-embedding solutions to the Euler-Lagrange equation for a natural energy functional on the space of maps f : R -> E. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：305 / 331

页数：27