An intrinsic approach to manifold constrained variational problems

被引：7

作者：

Focardi, Matteo ^{[1
]}

Spadaro, Emanuele ^{[2
]}

机构：

[1] Univ Florence, Florence, Italy

[2] Hausdorff Ctr Math, Bonn, Germany

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2013年 / 192卷 / 01期

关键词：

Lower semicontinuity; Quasi convexity; Manifold constraints; Metric space valued Sobolev maps; SOBOLEV-TYPE CLASSES; HARMONIC MAPS; METRIC SPACE; VALUES; SEMICONTINUITY; REGULARITY;

D O I：

10.1007/s10231-011-0216-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by some questions in continuum mechanics and analysis in metric spaces, we give an intrinsic characterization of sequentially weak lower semicontinuous functionals defined on Sobolev maps with values into manifolds without embedding the target into Euclidean spaces.

引用

页码：145 / 163

页数：19

共 39 条

[1] SEMICONTINUITY PROBLEMS IN THE CALCULUS OF VARIATIONS [J].