7 citations · 47 across the 26 of their papers we have counts for
4 papers · 1 filter
Uniform Lipschitz regularity of flat segregated interfaces in a singularly perturbed problem
Kelei Wang
For the singularly perturbed system \[Δu_{i,β}=βu_{i,β}\sum_{j\neq i}u_{j,β}^2, \quad 1\leq i\leq N,\] we prove that flat interfaces are uniformly Lipschitz. As a byproduct of the…
Some remarks on the structure of finite Morse index solutions to the Allen-Cahn equation in
Kelei Wang
For a solution of the Allen-Cahn equation in , under the natural linear growth energy bound, we show that the blowing down limit is unique. Furthermore, if the soluti…
The structure of finite Morse index solutions to two free boundary problems in
Kelei Wang
We give a description of the structure of finite Morse index solutions to two free boundary problems in . These free boundary problems are models of phase transition…
On Serrin's overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg
Kelei Wang, Juncheng Wei
This paper concerns rigidity results to Serrin's overdetermined problem in an epigraph $$ \{\begin{aligned} &Δu+ f(u)=0,\ \ \ {in}\ Ω=\{(x^\prime,x_n): x_n>φ(x^\prime)\},\\ &u>0,\…