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arXiv · 1709.02185

(Non)uniqueness of minimizers in the least gradient problem

Wojciech Górny
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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.

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Wojciech Górny. 2017-09-07. (Non)uniqueness of minimizers in the least gradient problem. https://arxiv.org/abs/1709.02185

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