A short proof of the Orlicz-Sobolev inequality

Optimal transport theory is used to give a short proof of the Orlicz-Sobolev inequality.

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Bibliographic Details
Published in:Advances in applied mathematics 2019-06, Vol.107, p.116-124
Main Author: Kone, Hassane
Format: Article
Language:English
Subjects:
Optimal transport theory
Orlicz-Sobolev spaces
Sobolev inequality
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Description
Summary:Optimal transport theory is used to give a short proof of the Orlicz-Sobolev inequality.
ISSN:0196-8858
1090-2074
DOI:10.1016/j.aam.2019.01.008