7 citations · 47 across the 26 of their papers we have counts for
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math.AP2017★ 2 cited
On one phase free boundary problem in
Yong Liu, Kelei Wang, Juncheng Wei
We construct a smooth axially symmetric solution to the classical one phase free boundary problem in . Its free boundary is of \textquotedblleft catenoid\textquoted…
math.AP2017★ 7 cited
Finite Morse index implies finite ends
Kelei Wang, Juncheng Wei
We prove that finite Morse index solutions to the Allen-Cahn equation in have {\bf finitely many ends} and {\bf linear energy growth}. The main tool is a {\bf curvature deca…
math.AP2017
On a free boundary problem and minimal surfaces
Yong Liu, Kelei Wang, Juncheng Wei
From minimal surfaces such as Simons' cone and catenoids, using refined Lyapunov-Schmidt reduction method, we construct new solutions for a free boundary problem whose free boundar…