43 citations · 201 across the 69 of their papers we have counts for
6 papers · 1 filter
Blow up solutions for Sinh-Gordon equation with residual mass
Weiwei Ao, Aleks Jevnikar, Wen Yang
We are concerned with the Sinh-Gordon equation in bounded domains. We construct blow up solutions with residual mass exhibiting either partial or asymmetric blow up, i.e. where bot…
Boundary-layer profile of a singularly perturbed non-local semi-linear problem arising in chemotaxis
Chiun-Chang Lee, Zhian Wang, Wen Yang
This paper is concerned with the following singularly perturbed non-local semi-linear problem \begin{equation} \label{h} \tag{} \begin{cases} \varepsilon^2 Δu=\frac{m}{\int_Ω…
Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data
Daniele Bartolucci, Aleks Jevnikar, Youngae Lee +1
We are concerned with the mean field equation with singular data on bounded domains. Under suitable non-degeneracy conditions we prove local uniqueness and non-degeneracy of bubbli…
On the general Toda system with multiple singular points
Ali Hyder, Juncheng Wei, Wen Yang
In this paper, we consider the following elliptic Toda system associated to a general simple Lie algebra with multiple singular sources \begin{equation*} \begin{cases} -Δw_i=\sum_{…
Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions
Daniele Bartolucci, Changfeng Gui, Yeyao Hu +2
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that solutions blowing-up at the same non-degenerate blow-up set are unique. On the ot…
The Nonexistence of Vortices for Rotating Bose-Einstein Condensates with Attractive Interactions
Yujin Guo, Yong Luo, Wen Yang
This article is devoted to studying the model of two-dimensional attractive Bose-Einstein condensates in a trap rotating at the velocity . This model can be described by…