Existence and qualitative properties of multidimensional conical bistable fronts

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Periodic traveling curved fronts in reaction–diffusion equation with bistable time-periodic nonlinearity (2011, background): “Recently, the mathematical study on the nonplanar traveling wave solution is attracting a lot of attention, see [2,6–11,16,26,27] for more existence and stability results of nonplanar traveling wave solutions of the autonomous reaction–diffusion equation.”
Periodic pyramidal traveling fronts of bistable reaction-diffusion equations with time-periodic nonlinearity (2012, background): “It needs to be pointed out that the authors in [22,23] also deals with cylindrically symmetric traveling fronts in arbitrary space dimensions.”
Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models (2009, background): “Many dynamical properties of delayed reaction diffusion systems have been widely studied in the past decades, for example, the persistence and extinction [11, 27, 40, 60], stability and convergence [9, 19, 39, 50, 64], periodic solutions [36, 49], traveling wave solutions [4, 5, 10, 12, 13, 37, 38],”