On anisotropic Sobolev spaces
classification
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anisotropicsobolevspacesbourgain-brezis-mironescucasecharacterizationsestablishformula
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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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