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arxiv: 1609.09714 · v2 · pith:7GLGUVR4new · submitted 2016-09-30 · 🧮 math.AP

Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

Andrea Pinamonti , Marco Squassina , Eugenio Vecchi This is my paper
classification 🧮 math.AP
keywords formulamagneticbourgain-brezis-mironescufunctionsproveboundedclassdeveloping
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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.

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  1. Multiplicity results for fractional magnetic problems involving exponential growth

    math.AP 2019-06 unverdicted novelty 4.0

    Existence of multiple solutions is shown for the fractional magnetic problem (half-Laplacian with magnetic field A) with critical exponential growth when lambda is non-resonant.