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Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data (1905.11749v2)
Published 28 May 2019 in math.AP
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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