(Non)uniqueness of minimizers in the least gradient problem
Analysis of PDEs
2017-09-08 v1
Abstract
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.
Cite
@article{arxiv.1709.02185,
title = {(Non)uniqueness of minimizers in the least gradient problem},
author = {Wojciech Górny},
journal= {arXiv preprint arXiv:1709.02185},
year = {2017}
}