BIRS Workshop Lecture Videos
Uniqueness and non-degeneracy of bubbling solutions for Liouville equations. Jevnikar, Aleks
We prove uniqueness and non-degeneracy of solutions for the mean field equation blowing-up on a non-degenerate blow-up set. Analogous results are derived for the Gelfand equation. The argument is based on sharp estimates for bubbling solutions and suitably defined Pohozaev-type identities. This is joint project with D. Bartolucci, Y. Lee and W. Yang.
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