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math.AP2018
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…
math.AP2018
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…