On anisotropic Sobolev spaces

2017/10/02 by Nguyen, Hoai-Minh, Squassina, Marco · 1 citation
#28D20 #46E35 #49A50 #82B10 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1710.00917

Abstract

We investigate two types of characterizations for anisotropic Sobolev and BV spaces. In particular, we establish anisotropic versions of the Bourgain-Brezis-Mironescu formula, including the magnetic case both for Sobolev and BV functions.

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• Characterizations of the Sobolev norms and the total variation via nonlocal functionals, and related problems

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