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Uniqueness and non-degeneracy of bubbling solutions for Liouville equations. Jevnikar, Aleks

Description

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.

Item Metadata

Title
Uniqueness and non-degeneracy of bubbling solutions for Liouville equations.
Creator
Jevnikar, Aleks
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2019-05-08T15:39
Description
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.
Extent
36.0 minutes
Subject
Mathematics; Partial differential equations; Differential geometry
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Scuola Normale Superiore di Pisa
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2019-11-05
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0384927
URI
http://hdl.handle.net/2429/72193
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Postdoctoral
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International