Title	Non-uniqueness of blowing-up solutions to the Gelfand problem.
Creator	Grossi, Massimo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-07T10:32
Description	I will consider blowing-up solution for the Gelfand problem on planar domains. It is well known that blow up at a single point must occur at a critical point x of a ``reduced functional'' F, whereas uniqueness of blowing up families has been recently shown provided x is a non-degenerate critical point of F. We showed that, if x is a degenerate critical point of F and satisfies some additional generic condition, then one may have two solutions blowing up at the same point. Solutions are constructed using a Lyapunov-Schmidt reduction. This is a joint work with Luca Battaglia and Angela Pistoia.
Extent	39.0 minutes
Subject	Mathematics; Partial differential equations; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Sapienza Università di Roma
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-11-04
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0384908
URI	http://hdl.handle.net/2429/72174
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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