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arXiv · 1710.00917

On anisotropic Sobolev spaces

Hoai-Minh Nguyen·Marco Squassina
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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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Hoai-Minh Nguyen, Marco Squassina. 2017-10-02. On anisotropic Sobolev spaces. https://arxiv.org/abs/1710.00917

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