97 citations · 579 across the 69 of their papers we have counts for
5 papers · 2 filters
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…
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…
Geometric quantities arising from bubbling analysis of mean field equations
Chang-Shou Lin, Chin-Lung Wang
Let be a flat torus and be its Green function with singularity at . Consider the multiple Green function on : $$G_{n}(z_1,\cdots,z_n) := \sum_{i <…
On Rank Two Toda System with Arbitrary Singularities: Local Mass and New Estimates
Changshou Lin, Juncheng Wei, Wen Yang +1
For all rank two Toda systems with an arbitrary singular source, we use a unified approach to prove: (i) The pair of local masses at each blowup point has the expressio…