Advances in Calculus of Variations
Managing Editor: Duzaar, Frank / Kinnunen, Juha
Editorial Board Member: Armstrong, Scott N. / Astala, Kari / Colding, Tobias / Dacorogna, Bernard / Dal Maso, Gianni / DiBenedetto, Emmanuele / Fonseca, Irene / Finster, Felix / Gianazza, Ugo / Gursky, Matthew / Hardt, Robert / Ishii, Hitoshi / Kristensen, Jan / Manfredi, Juan / Martell, Jose Maria / McCann, Robert / Mingione, Giuseppe / Nystrom, Kaj / Pacard, Frank / Preiss, David / Riviére, Tristan / Schaetzle, Reiner / Silvestre, Luis
IMPACT FACTOR increased in 2015: 1.219
Rank 33 out of 312 in category Mathematics and 63 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition
SCImago Journal Rank (SJR) 2015: 1.290
Source Normalized Impact per Paper (SNIP) 2015: 1.062
Impact per Publication (IPP) 2015: 0.870
Mathematical Citation Quotient (MCQ) 2015: 1.03
Lower semicontinuity and Young measures in BV without Alberti's Rank-One Theorem
1Mathematical Institute, University of Oxford, 24–29 St Giles', Oxford OX1 3LB, United Kingdom
Citation Information: Advances in Calculus of Variations. Volume 5, Issue 2, Pages 127–159, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: 10.1515/acv.2011.008, March 2012
- Published Online:
We give a new proof of sequential weak* lower semicontinuity in for integral functionals of the form
where and is a quasiconvex Carathéodory integrand with linear growth at infinity, i.e. for some , and such that the recession function exists and is (jointly) continuous. In contrast to the classical proofs by Ambrosio and Dal Maso [J. Funct. Anal. 109 (1992), 76–97] and Fonseca and Müller [Arch. Ration. Mech. Anal. 123 (1993), 1–49], we do not use Alberti's Rank-One Theorem [Proc. Roy. Soc. Edinburgh Sect. A 123 (1993), 239–274], but a rigidity result for gradients. The proof is set in the framework of generalized Young measures and proceeds via establishing Jensen-type inequalities for regular and singular points of .
Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.