VARIATIONAL-PROBLEMS FOR MAPS OF BOUNDED VARIATION WITH VALUES IN S1

被引：36

作者：

GIAQUINTA, M

MODICA, G

SOUCEK, J

机构：

[1] UNIV FLORENCE, DIPARTIMENTO MATEMAT APPLICATA GIOVANNI SANSONE, I-50139 FLORENCE, ITALY

[2] CZECHOSLOVAK ACAD SCI, CS-11567 PRAGUE, CZECHOSLOVAKIA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1993年 / 1卷 / 01期

关键词：

Mathematics Subject Classification: 49Q20;

D O I：

10.1007/BF02163266

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main goal of this paper is to characterize the weak limits of sequences of smooth maps from a Riemannian manifold into S1. This is achieved in terms of Cartesian currents. Applications to the existence of minimizers of area type functionals in the class of maps with values in S1 satisfying Dirchlet and homological conditions are then discussed. The so called dipole problem is solved, too.

引用

页码：87 / 121

页数：35

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