2 papers
math.AP2024
Some new bistable transition fronts with changing shape
Hongjun Guo, Kelei Wang
We construct entire solutions of bistable reaction-diffusion equations by mixing finite planar fronts, which form a finite-dimensional manifold. These entire solutions are generali…
math.AP2024
Blow up analysis for a parabolic MEMS problem, I: Hölder estimate
Kelei Wang, Guangzeng Yi
This is the first in a series of papers devoted to the blow up analysis for the quenching phenomena in a parabolic MEMS equation. In this paper, we first give an optimal Hölder est…