5 citations · 14 across the 8 of their papers we have counts for
13 papers
Refined blowup analysis and nonexistence of Type II blowups for an energy critical nonlinear heat equation
Kelei Wang, Juncheng Wei
We consider the energy critical semilinear heat equation $$ \left\{\begin{aligned} &\partial_t u-Δu =|u|^{\frac{4}{n-2}}u &\mbox{in } {\mathbb R}^n\times(0,T),\\ &u(x,0)=u_0(x), \e…
Lipschitz property of bistable or combustion fronts and its applications
Kelei Wang
For a class of reaction-diffusion equations describing propagation phenomena, we prove that for any entire solution , the level set is a Lipschitz graph in the time di…
A generalized one phase Stefan problem as a vanishing viscosity limit
Kelei Wang
We study the vanishing viscosity limit of a nonlinear diffusion equation describing chemical reaction interface or the spatial segregation interface of competing species, where the…
Stability of the saddle solutions for the Allen-Cahn equation
Yong Liu, Kelei Wang, Juncheng Wei
We are concerned with the saddle solutions of the Allen-Cahn equation constructed by Cabré and Terra \cite{C,C2} in . These so…
Axially symmetric solutions of Allen-Cahn equation with finite Morse index
Changfeng Gui, Kelei Wang, Juncheng Wei
In this paper we study axially symmetric solutions of Allen-Cahn equation with finite Morse index. It is shown that there does not exist such a solution in dimensions between a…
Half space theorem for the Allen-Cahn equation and related problems
Francois Hamel, Yong Liu, Pieralberto Sicbaldi +2
In this paper we obtain rigidity results for a bounded non-constant entire solution of the Allen-Cahn equation in , whose level set is contained in a ha…