Magnetic BV functions and the Bourgain-Brezis-Mironescu formula
arXiv:1609.09714
Abstract
We prove a general magnetic Bourgain-Brezis-Mironescu formula. In particular, after developing a theory of magnetic bounded variation functions, we prove the validity of the formula in this class.
arXiv comment30 pages, to appear on Advances in Calculus of Variations