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.
Density estimates for a variational model driven by the Gagliardo norm
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Optimal decay rates are established for heteroclinic minimizers of fractional Allen-Cahn energies with degenerate double-well potentials.
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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.
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Optimal decay of heteroclinic solutions of the fractional Allen-Cahn equation with a degenerate potential
Optimal decay rates are established for heteroclinic minimizers of fractional Allen-Cahn energies with degenerate double-well potentials.