Title	Uniqueness and existence results via Morse index for Lane Emden problems
Creator	De Marchis, Francesca
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-04-05T11:16
Description	We consider the classical Lane Emden equation in bounded domains of the plane with Dirichlet boundary conditions and we present some results concerning the Morse index of solutions to this problem, when the exponent of the nonlinearity is large. Via these Morse index computations and a precise asymptotic analysis we can deduce a uniqueness result for positive solutions in convex domains and also some existence results of non-radial sign-changing solutions in the ball. Based on joint papers with M. Grossi, I. Ianni and F. Pacella.
Extent	50 minutes
Subject	Mathematics; Partial differential equations; Global analysis, analysis on manifolds
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	2018-10-03
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0372386
URI	http://hdl.handle.net/2429/67323
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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