Title	The symmetry of stable solutions of semilinear elliptic equations
Creator	Nordmann, Samuel
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-08-04T08:00
Description	Consider a general semilinear elliptic equation with Neumann boundary conditions. A seminal result of Casten, Holland (1978) and Matano (1979) states that, if the domain is convex and bounded, any stable solution is constant. In this talk, we will investigate whether this classification result extends to convex unbounded domains, or to some non-convex domains. These questions involve the geometry of the domain in a rather intricate way. In particular, our results recover and extend some classical results on De Giorgi's conjecture about the classification of stable solutions of the Allen-Cahn equation in $R^n$.
Extent	26.0 minutes
Subject	Mathematics; Partial differential equations; Biology and other natural sciences
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Tel-Aviv
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-02-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395801
URI	http://hdl.handle.net/2429/77229
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos