Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data
arXiv:1905.11749 · doi:10.1016/j.jde.2020.01.030
Abstract
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 bubbling solutions blowing up at singular points. The proof is based on sharp estimates for bubbling solutions of singular mean field equations and suitably defined Pohozaev-type identities.
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