Solution of the fractional Allen-Cahn equation which are invariant under screw motion
Cinti, Eleonora · Davila, Juan · Del Pino, Manuel
Original · EN
We establish existence and non-existence results for entire solutions to the fractional Allen-Cahn equation in R³, which vanish on helicoids and are invariant under screw-motion. In addition, we prove that helicoids are surfaces with vanishing nonlocal mean curvature.
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