3 citations · 5 across the 4 of their papers we have counts for
7 papers
From KP-I lump solution to travelling waves of Gross-Pitaevskii equation
Yong Liu, Zhengping Wang, Juncheng Wei +1
Let be an nondegenerate lump solution to KP-I (Kadomtsev-Petviashvili-I) equation $$\partial_x^4q-2\sqrt{2}\partial_x^2q-3\sqrt{2}\partial_x((\partial_xq) ^2)-2\partial_y^…
Entire solutions of the magnetic Ginzburg-Landau equation in
Yong Liu, Xinan Ma, Juncheng Wei +1
We construct entire solutions of the magnetic Ginzburg-Landau equations in dimension 4 using Lyapunov-Schmidt reduction. The zero set of these solutions are close to the minimal su…
Generalized Adler-Moser Polynomials and Multiple vortex rings for the Gross-Pitaevskii equation
Weiwei Ao, Yehui Huang, Yong Liu +1
New finite energy traveling wave solutions with small speed are constructed for the three dimensional Gross-Pitaevskii equation \begin{equation*} iΨ_t= ΔΨ+(1-|Ψ|^2)Ψ, \end{equation…
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…
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…
Global minimizers of the Allen-Cahn equation in dimension
Yong Liu, Kelei Wang, Juncheng Wei
We prove the existence of global minimizers of Allen-Cahn equation in dimensions and above. More precisely, given any strictly area-minimizing Lawson's cones, there are global…