Calculus of Variations and Geometric Measure Theory
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F. Farroni - N. Fusco - S. Guarino Lo Bianco - R. Schiattarella

A formula for the anisotropic total variation of SBV functions

created by guarinolo on 15 Apr 2019
modified by farroni on 19 Apr 2021


Published Paper

Inserted: 15 apr 2019
Last Updated: 19 apr 2021

Journal: J. Funct. Anal.
Year: 2019


The purpose of this article is to present the relation between certain BMO–type seminorms and the total variation of SBV functions. Following a paper by Ambrosio and Comi, we give a representation formula of the anisotropic total variation of SBV functions which does not make use of the distributional derivatives.


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