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Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part. Premoselli, Bruno

Description

We consider the equation $\triangle_g u+hu=|u|^{2^*-2}u$ in a closed Riemannian manifold $(M,g)$, where $h$ is some Holder continuous function in $M$ and $2^* = \frac{2n}{n-2}$, $n:=dim M$. We obtain a sharp compactness result on the sets of sign-changing solutions whose negative part is a priori bounded. We obtain this result under the conditions that $n \ge 7$ and $h

Item Metadata

Title
Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part.
Creator
Premoselli, Bruno
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2019-05-07T16:44
Description
We consider the equation $\triangle_g u+hu=|u|^{2^*-2}u$ in a closed Riemannian manifold $(M,g)$, where $h$ is some Holder continuous function in $M$ and $2^* = \frac{2n}{n-2}$, $n:=dim M$. We obtain a sharp compactness result on the sets of sign-changing solutions whose negative part is a priori bounded. We obtain this result under the conditions that $n \ge 7$ and $h
Extent
40.0 minutes
Subject
Mathematics; Partial differential equations; Differential geometry
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Université Libre de Bruxelles
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2019-11-04
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0384913
URI
http://hdl.handle.net/2429/72179
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Researcher
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International