97 citations · 1.2k across the 185 of their papers we have counts for
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Infinite time blow-up for half-harmonic map flow from into
Yannick Sire, Juncheng Wei, Youquan Zheng
We study infinite time blow-up phenomenon for the half-harmonic map flow \begin{equation}\label{e:main00} \left\{\begin{array}{ll} u_t = -(-Δ)^{\frac{1}{2}}u + \left(\frac{1}{2π}\i…
Existence and instability of deformed catenoidal solutions for fractional Allen--Cahn equation
Hardy Chan, Yong Liu, Juncheng Wei
We develop a new infinite dimensional gluing method for fractional elliptic equations. As a model problem, we construct solutions of the fractional Allen--Cahn equation vanishing o…
On Delaunay solutions of a biharmonic elliptic equation with critical exponent
Zongming Guo, Xia Huang, Liping Wang +1
We are interested in the qualitative properties of positive entire solutions of the equation \begin{equation} \label{0.0} Δ^2 u=u^{\frac…
Non-degeneracy of Gauss curvature equation with negative conic singularity
Juncheng Wei, Lei Zhang
We study the Gauss curvature equation with negative singularities. For a local mean field type equation with only one negative index we prove a uniqueness property. For a global eq…
Ground States of Two-Component Attractive Bose-Einstein Condensates II: Semi-trivial Limit Behavior
Yujin Guo, Shuai Li, Juncheng Wei +1
As a continuation of [14], we study new pattern formations of ground states for two-component Bose-Einstein condensates (BEC) with homogeneous trapping potentials in $R…
Ground States of Two-Component Attractive Bose-Einstein Condensates I: Existence and Uniqueness
Yujin Guo, Shuai Li, Juncheng Wei +1
We study ground states of two-component Bose-Einstein condensates (BEC) with trapping potentials in , where the intraspecies interaction and the interspecies int…