On subadditive theorems for group actions and homogenization

We prove subadditive theorems à la Akcoglu-Krengel on measure spaces with acting groups. Applications to homogenization of nonconvex integrals in Cheeger-Sobolev spaces are also developed.

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Bibliographic Details
Published in:Bulletin des sciences mathématiques 2020-02, Vol.158, p.102821, Article 102821
Main Authors: Anza Hafsa, Omar, Mandallena, Jean-Philippe
Format: Article
Language:English
Subjects:
Amenable group
Cheeger-Sobolev space
Homogenization
Mathematics
Subadditive theorem
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Description
Summary:We prove subadditive theorems à la Akcoglu-Krengel on measure spaces with acting groups. Applications to homogenization of nonconvex integrals in Cheeger-Sobolev spaces are also developed.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2019.102821