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.
Magnetic BV functions and the Bourgain-Brezis-Mironescu formula
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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.
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2019 1verdicts
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Multiplicity results for fractional magnetic problems involving exponential growth
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.