Steady-state Bifurcation of Fisher-Kolmogorov-Petrovskii -Piskunov Equations with Robin Boundary Conditions

Using the normalized Lyapunov-Schmidt reduction method and the linear fully continuous field spectral decomposition theorem, the steady-state bifurcation of the Fisher -Kolmogorov-Petrovskii-Piskunov equation under Robin boundary condition was studied. The complete criteria for critical bifurcation conditions, speciic expressions for bifurcation solutions, and regularity of bifurcation solutions were obtained.