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Γ-convergence of nonconvex integrals in Cheeger--Sobolev spaces and homogenization

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Published/Copyright: August 11, 2016

Abstract

We study Γ-convergence of nonconvex variational integrals of the calculus of variations in the setting of Cheeger–Sobolev spaces. Applications to relaxation and homogenization are given.

MSC 2010: 49J45; 49J27; 49Q20

Communicated by Juha Kinnunen


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Received: 2015-12-1
Revised: 2016-4-5
Accepted: 2016-6-15
Published Online: 2016-8-11
Published in Print: 2017-10-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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