2 citations · 4 across the 3 of their papers we have counts for
8 papers · 1 filter
Mean field equations and domains of first kind
Daniele Bartolucci, Andrea Malchiodi
In this paper we are interested in understanding the structure of domains of first and second kind, a concept motivated by problems in statistical mechanics. We prove some openness…
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…
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…
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…