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math.AP2019
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…
math.AP2019
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…