Optimal decay rates are established for heteroclinic minimizers of fractional Allen-Cahn energies with degenerate double-well potentials.
Some perspectives on (non)local phase transitions and minimal surfaces , volume =
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Viscosity subsolutions to nonlocal mean curvature-type equations satisfy universal volumetric estimates at all scales, and low-density ones necessarily have topological boundaries with positive Lebesgue measure.
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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.
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Volumetric density estimates for nonlocal minimal surfaces
Viscosity subsolutions to nonlocal mean curvature-type equations satisfy universal volumetric estimates at all scales, and low-density ones necessarily have topological boundaries with positive Lebesgue measure.