Wojciech Górny
Published 2017-09-07Version 1
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.
Planar least gradient problem: existence, regularity and anisotropic case
Least gradient problem on annuli
Least gradient problem with Dirichlet condition imposed on a part of the boundary
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