97 citations · 579 across the 69 of their papers we have counts for
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Local Uniqueness and Refined Spike Profiles of Ground States for Two-Dimensional Attractive Bose-Einstein Condensates
Yujin Guo, Changshou Lin, Juncheng Wei
We consider ground states of two-dimensional Bose-Einstein condensates in a trap with attractive interactions, which can be described equivalently by positive minimizers of the $L^…
Toda systems and hypergeometric equations
Chang-Shou Lin, Zhaohu Nie, Juncheng Wei
This paper establishes certain existence and classification results for solutions to Toda systems with three singular sources at 0, 1, and . First, we determine the…
Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin +1
We study the spectral polynomial of the Treibich-Verdier potential. Such spectral polynomial, which is a generalization of the classical Lame polynomial, plays fundamental roles in…
On reducible monodromy representations of some generalized Lamé equation
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin +1
In this note, we compute the explicit formula of the monodromy data for a generalized Lamé equation when its monodromy is reducible but not completely reducible. We also solve the…
Non-existence of solutions for a mean field equation on flat tori at critical parameter
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin
It is known from \cite{LW} that the solvability of the mean field equation with on a flat torus essentially depends on the geome…
Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation, I
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin
In this paper, we study the Painlevé VI equation with parameter . We prove (i) An explicit formula to count the number of poles…