Magnetic BV-functions and the Bourgain–Brezis–Mironescu formula

By Andrea Pinamonti, Marco Squassina, E. Vecchi. Advances in Calculus of Variations, 2016

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Abstract We prove a general magnetic Bourgain–Brezis–Mironescu formula which extends the one obtained in [37] in the Hilbert case setting. In particular, after developing a rather complete theory of magnetic bounded variation functions, we prove the validity of the formula in this class.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/6116a1823529ce37688f59773e47d511129484d7