(Non)uniqueness of minimizers in the least gradient problem

[摘要] Minimizers in the least gradient problem with discontinuous boundary data need not be unique. However, all of them have a similar structure of level sets. Here, we give a full characterization of the set of minimizers in terms of any one of them and discuss stability properties of an approximate problem. (C) 2018 Elsevier Inc. All rights reserved.

[发布日期] 2018-12-15

[关键词] Least gradient problem;Minimal surfaces;Convex but non-strictly convex domains