Solution of the Fractional Allen-cahn Equation Which Are Invariant under Screw Motion
نویسندگان
چکیده
We establish existence and non-existence results for entire solutions to the fractional Allen-Cahn equation in R, which vanish on helicoids and are invariant under screw-motion. In addition, we prove that helicoids are surfaces with vanishing nonlocal mean curvature.
منابع مشابه
Solutions of the fractional Allen-Cahn equation which are invariant under screw motion
We establish existence and non-existence results for entire solutions to the fractional Allen–Cahn equation in R, which vanish on helicoids and are invariant under screw motion. In addition, we prove that helicoids are surfaces with vanishing non-local mean curvature.
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