NDLI: Lower semi-continuity of integrals with G-quasiconvex potential

Content Provider	Springer Nature Link
Author	Buliga, M.
Copyright Year	2002
Abstract	This paper introduces the proper notion of variational quasiconvexity associated to a group of bi-Lipschitz homeomorphisms, with possible applications in elasticity. We prove a lower semicontinuity theorem connected to this notion, which improves a result of Dacorogna and Fusco [7]. In the second part of the paper we apply this result to a class of functions, introduced in [5]. Such functions are GL(n, R)+ quasiconvex, hence they induce lower semicontinuous integrals.
Starting Page	949
Ending Page	961
Page Count	13
File Format	PDF
ISSN	00442275
Journal	Zeitschrift für angewandte Mathematik und Physik
Volume Number	53
Issue Number	6
e-ISSN	14209039
Language	English
Publisher	Birkhäuser Verlag
Publisher Date	2002-11-01
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Physics and Astronomy

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Lower semi-continuity of integrals with G-quasiconvex potential