Title	A critical equation with Hardy potential
Creator	Esposito, Pierpaolo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-04-05T15:29
Description	We discuss existence issues for a Dirichlet problem in bounded domains with polynomial nonlinearities of critical growth in presence of an Hardy potential. Linear perturbations can produce positive solutions and we aim to construct sign-changing solutions, shaped as a tower of "bubbles" centered at 0 with alternating signs. The construction is optimal in the radial case as a very fine asymptotic analysis shows for radial towers of "bubbles", recovering and improving what is known in the non-singular case. Joint work with N. Ghoussoub, A. Pistoia and G. Vaira.
Extent	42 minutes
Subject	Mathematics; Partial differential equations; Global analysis, analysis on manifolds
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Università di Roma Tre
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-10-03
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0372384
URI	http://hdl.handle.net/2429/67324
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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