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Advances in Calculus of Variations

Managing Editor: Duzaar, Frank / Kinnunen, Juha

Editorial Board: Armstrong, Scott N. / Balogh, Zoltán / Cardiliaguet, Pierre / Dacorogna, Bernard / Dal Maso, Gianni / DiBenedetto, Emmanuele / Fonseca, Irene / Gianazza, Ugo / Ishii, Hitoshi / Kristensen, Jan / Manfredi, Juan / Martell, Jose Maria / Mingione, Giuseppe / Nystrom, Kaj / Riviére, Tristan / Schaetzle, Reiner / Shen, Zhongwei / Silvestre, Luis / Tonegawa, Yoshihiro / Touzi, Nizar / Wang, Guofang


IMPACT FACTOR 2017: 1.676

CiteScore 2017: 1.30

SCImago Journal Rank (SJR) 2017: 2.045
Source Normalized Impact per Paper (SNIP) 2017: 1.138

Mathematical Citation Quotient (MCQ) 2017: 1.15

Online
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1864-8266
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Volume 6, Issue 2

Issues

Localization principle and relaxation

Jean-Philippe Mandallena
Published Online: 2013-04-01 | DOI: https://doi.org/10.1515/acv-2013-0101

Abstract.

Relaxation theorems for multiple integrals on

, where
, are proved under general conditions on the integrand
which is Borel measurable and not necessarily finite. We involve a localization principle that we previously used to prove a general lower semicontinuity result. We apply these general results to the relaxation of nonconvex integrals with exponential-growth.

Keywords: Relaxation; W1,q-quasiconvexification; ru-usc integrand; Young measures; equi-integrability; localization principle; exponential-growth

About the article

Received: 2011-07-07

Revised: 2012-12-22

Accepted: 2013-01-04

Published Online: 2013-04-01

Published in Print: 2013-04-01


Citation Information: Advances in Calculus of Variations, Volume 6, Issue 2, Pages 217–246, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: https://doi.org/10.1515/acv-2013-0101.

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[1]
Omar Anza Hafsa and Jean-Philippe Mandallena
Bulletin des Sciences Mathématiques, 2018, Volume 142, Page 49

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