Cheeger Type Sobolev Spaces for Metric Space Targets

被引：0
作者：
Shin-Ichi Ohta
机构：
[1] Tohoku University,Mathematical Institute
来源：
Potential Analysis | 2004年 / 20卷
关键词：
Sobolev space; metric space; Dirichlet problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the natural generalization of Cheeger type Sobolev spaces to maps into a metric space. We solve Dirichlet problem for CAT(0)-space targets, and obtain some results about the relation between Cheeger type Sobolev spaces for maps into a Banach space and those for maps into a subset of that Banach space. We also prove the minimality of upper pointwise Lipschitz constant functions for locally Lipschitz maps into an Alexandrov space of curvature bounded above.
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页码：149 / 175
页数：26
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