Articulo
Solutions of the fractional Allen-Cahn equation which are invariant under screw motion
Journal of The London Mathematical Society-Second Series
Registro en:
1150066
1150066
Autor
Cinti, Eleonora
Dávila, Juan
Del Pino-Manresa, Manuel Adrián
Institución
Resumen
We establish existence and non-existence results for entire solutions to the fractional Allen-Cahn equation in R-3, which vanish on helicoids and are invariant under screw motion. In addition, we prove that helicoids are surfaces with vanishing non-local mean curvature. Keywords. KeyWords Plus:NONLINEAR EQUATIONS HALF-LAPLACIAN SURFACES Regular 2015 FONDECYT FONDECYT