A mass-at-infinity functional unifies the Maz'ya-Shaposhnikova limit with fractional perimeter asymptotics for non-integrable functions on Lipschitz domains.
D´ avila, On an open question about functions of bounded variation,Calculus of Variations and Partial Differential Equations15(2002), no
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The fractional Massari functional Gamma-converges to the classical Massari functional, preserving minimizers, and yields limiting information for inhomogeneous Allen-Cahn equations together with the new notion of non-local hybrid mean curvature.
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Closing the gap: Maz'ya-Shaposhnikova and asymptotics of fractional perimeters
A mass-at-infinity functional unifies the Maz'ya-Shaposhnikova limit with fractional perimeter asymptotics for non-integrable functions on Lipschitz domains.
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$\Gamma$-convergence of the non-local Massari functional and applications to inhomogeneous Allen-Cahn equations
The fractional Massari functional Gamma-converges to the classical Massari functional, preserving minimizers, and yields limiting information for inhomogeneous Allen-Cahn equations together with the new notion of non-local hybrid mean curvature.