3 citations · 8 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
On Entire Solutions of an Elliptic System Modeling Phase Separations
Henri Berestycki, Susanna Terracini, Kelei Wang +1
We study the qualitative properties of a limiting elliptic system arising in phase separation for Bose-Einstein condensates with multiple states: Δu=u v^2 in R^n, Δv= v u^2 in R^n,…