Electron. J. Differential Equations, Vol. 2023 (2023), No. 31, pp. 1-23.

Pyramidal traveling fronts of a time periodic diffusion equation with degenerate monostable nonlinearity

Zhen-Hui Bu, Chen-Lu Wang, Xin-Tian Zhang

Abstract:
This article focuses on the nonplanar traveling fronts of degenerate monostable time periodic reaction-diffusion equations in Rn with n≥3. By constructing a couple of proper supersolution and subsolution, we prove the existence of periodic pyramidal traveling front in R3 and then in Rn with n>3.

Submitted August 8, 2022. Published April 3, 2023.
Math Subject Classifications: 35C07, 35K57, 35B08.
Key Words: Reaction-diffusion equation; time periodic; pyramidal traveling front; degenerate monostable nonlinear term.
DOI: https://doi.org/10.58997/ejde.2023.31

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Zhen-Hui Bu
College of Science
Northwest A∓F University
Yangling, Shaanxi 712100, China
email: buzhenhui14@163.com
Chen-Lu Wang
College of Science
Northwest A&F University
Yangling, Shaanxi 712100, China
email: nwsuafwcl@163.com
Xin-Tian Zhang
College of Science
Northwest A&F University
Yangling, Shaanxi 712100, China
email: zhangxintian808@163.com

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