Title	Liouville problems with sign changing potentials
Creator	López Soriano, Rafael
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-04-05T16:14
Description	This talk is concerned with the singular mean field problem of Liouville type on compact surfaces. The study of this equation is motivated by some problems which arise in Differential Geometry and Physics. We will focus on the existence and compactness of solutions, which have been extensively studied for positive potentials. However, the case of sign changing potentials has not been much considered in the literature. For the latter case, we present results on the solvability using variational techniques. Concerning the compactness, we deal with the possible blow--up phenomena in order to establish a general criterion. Joint works with Francesca De Marchis and David Ruiz.
Extent	41 minutes
Subject	Mathematics; Partial differential equations; Global analysis, analysis on manifolds
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Univ. Granada
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	10.14288/1.0372382
URI	http://hdl.handle.net/2429/67328
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

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