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arXiv · 1905.11749

Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data

Daniele Bartolucci·Aleks Jevnikar·Youngae Lee·Wen Yang
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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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Daniele Bartolucci, Aleks Jevnikar, Youngae Lee, Wen Yang. 2019-05-28. Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data. https://doi.org/10.1016/j.jde.2020.01.030

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