43 citations · 201 across the 69 of their papers we have counts for
4 papers · 1 filter
Existence of bubbling solutions without mass concentration
Youngae Lee, Chang-Shou Lin, Wen Yang
The seminal work \cite{bm} by Brezis and Merle has been pioneering in studying the bubbling phenomena of the mean field equation with singular sources. When the vortex points are n…
Local uniqueness of -bubbling sequences for the Gel'fand equation
Daniele Bartolucci, Aleks Jevnikar, Youngae Lee +1
We consider the Gel'fand problem, $$ \begin{cases} Δw_{\varepsilon}+\varepsilon^2 h e^{w_{\varepsilon}}=0\quad&\mbox{in}\quadΩ, w_{\varepsilon}=0\quad&\mbox{on}\quad\partialΩ, \end…
Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass
Jun Wang, Zhi-An Wang, Wen Yang
This paper is concerned with the uniqueness of solutions to the following nonlocal semi-linear elliptic equation \begin{equation}\label{ellip}\tag{} Δu-βu+λ\frac{e^u}{\int_Ωe…
Wave equations associated to Liouville-type problems: global existence in time and blow up criteria
Weiwei Ao, Aleks Jevnikar, Wen Yang
We are concerned with wave equations associated to some Liouville-type problems on compact surfaces, focusing on sinh-Gordon equation and general Toda systems. Our aim is on one si…