Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592364 | Journal of Functional Analysis | 2007 | 13 Pages |
Abstract
The present article is devoted to the study of a constrained weighted total variation minimization problem, which may be viewed as a relaxation of a generalized Cheeger problem and is motivated by landslide modeling. Using the fact that the set of minimizers is invariant by a wide class of monotone transformations, we prove that level sets of minimizers are generalized Cheeger sets and obtain qualitative properties of the minimizers: they are all bounded and all achieve their essential supremum on a set of positive measure.
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