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.
Nguyen, H., Squassina, M., On anisotropic Sobolev spaces, <<COMMUNICATIONS IN CONTEMPORARY MATHEMATICS>>, 2019; (1): 2242-2269. [doi:10.1142/S0219199718500177] [http://hdl.handle.net/10807/132124]
On anisotropic Sobolev spaces
Squassina, Marco
Membro del Collaboration Group
2019
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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