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Bourgain--Brezis--Mironescu formula for BV functions on arbitrary open sets and applications
In this paper, we establish a Bourgain--Brezis--Mironescu formula for BV functions on arbitrary open sets for a general class of radial mollifiers. Building on this formula, we identify the \(Γ\)-limit of the improved nonlocal energies with respect to \(L^1\)-convergence as a constant multiple of th
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