Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 31, pp. 1-23.

Title: Pyramidal traveling fronts of a time periodic diffusion equation with degenerate monostable nonlinearity
       
Authors: Zhen-Hui Bu    (Northwest A\&F Univ., Yangling, Shaanxi, China)
         Chen-Lu Wang   (Northwest A\&F Univ., Yangling, Shaanxi, China)
         Xin-Tian Zhang (Northwest A\&F Univ., Yangling, Shaanxi, China)

Abstract: 
This article focuses on the nonplanar traveling fronts of degenerate monostable time
periodic reaction-diffusion equations in R<sup>n</sup> with n&ge;3.
By constructing a couple of proper supersolution and subsolution, we prove the
existence of periodic pyramidal traveling front in R<sup>3</sup> and then in
R<sup>n</sup> with n&gt;3.

Submitted August 8, 2022. Published April 03, 2023.
Math Subject Classifications: 35C07, 35K57, 35B08.
Key Words: Reaction-diffusion equation; time periodic; pyramidal traveling front;
           degenerate monostable nonlinear term.