Elastic knots in Euclidean 3-space

被引：10

作者：

Von der Mosel, H ^{[1
]}

机构：

[1] Univ Bonn, Math Inst, D-53115 Bonn, Germany

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1999年 / 16卷 / 02期

关键词：

D O I：

10.1016/S0294-1449(99)80010-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the problem of minimizing the curvature functional integral k(2) ds on isotopy classes of closed knotted curves in R-3. We show existence of minimizers under a given topological knot type and develop a regularity theory by analyzing different touching situations. (C) Elsevier, Paris.

引用

页码：137 / 166

页数：30

共 18 条

[1]

[Anonymous], ANN MATH STUDIES

[2] REDUCTION FOR CONSTRAINED VARIATIONAL-PROBLEMS AND INTEGRAL-K2/2DS [J].