30 citations · 220 across the 48 of their papers we have counts for
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Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains
Daniele Bartolucci, Aleks Jevnikar, Chang-Shou Lin
The aim of this paper is to complete the program initiated in [50], [23] and then carried out by several authors concerning non-degeneracy and uniqueness of solutions to mean field…
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…
A singular Sphere Covering Inequality: uniqueness and symmetry of solutions to singular Liouville-type equations
Daniele Bartolucci, Changfeng Gui, Aleks Jevnikar +1
We derive a singular version of the Sphere Covering Inequality which was recently introduced in [42], suitable for treating singular Liouville-type problems with superharmonic weig…
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…