Title	Paths to uniqueness of critical points and applications
Creator	Tavares, Hugo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-09-27T11:00
Description	In this talk we address the question whether a certain special subset of critical points of a Fr\'{e}chet differentiable functional is necessarily a singleton, and we prove an abstract result that gathers many interesting problems in its framework. We will provide several applications and prove uniqueness of positive solutions of some elliptic problems, covering both old and new results. Essentially, we build paths to uncover the hidden convexity of the associate functionals. This is based on a joint work with D. Bonheure, J. Foldes, E. Moreira dos Santos and A. Salda\~na
Extent	39 minutes
Subject	Mathematics; Partial differential equations; Dynamical systems and ergodic theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Instituto Superior Técnico, Universidade de Lisboa
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-03-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343383
URI	http://hdl.handle.net/2429/61029
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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