3 citations · 8 across the 7 of their papers we have counts for
7 papers
F-stability, entropy and energy gap for supercritical Fujita equation
Kelei Wang, Juncheng Wei, Ke Wu
We study some problems on self similar solutions to the Fujita equation when , especially, the characterization of constant solutions by the energy. Motivated by rec…
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…
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…
Nondegeneracy for stable solutions to the one-phase free boundary problem
Nikola Kamburov, Kelei Wang
We prove the nondegeneracy condition for stable solutions to the one-phase free boundary problem. The proof is by a De Giorgi iteration, where we need the Sobolev inequality of Mic…
Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces
Vincent Millot, Yannick Sire, Kelei Wang
This article is mainly devoted to the asymptotic analysis of a fractional version of the (elliptic) Allen-Cahn equation in a bounded domain , with or without…
On the uniqueness of solutions of an nonlocal elliptic system
Kelei Wang, Juncheng Wei
We consider the following elliptic system with fractional laplacian $$ -(-Δ)^su=uv^2,\ \ -(-Δ)^sv=vu^2,\ \ u,v>0 \ \mbox{on}\ \R^n,$$ where and is the -Lapa…