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A lower semi-continuity result for polyconvex functionals in SBV

Published online by Cambridge University Press:  12 July 2007

Nicola Fusco
Affiliation:
Dipartimento di Matematica e Applicazioni, Complesso Universitario di Monte Sant' Angelo, Via Cintia, 80126 Napoli, Italyn.fusco@unina.it
Chiara Leone
Affiliation:
Dipartimento di Matematica e Applicazioni, Complesso Universitario di Monte Sant' Angelo, Via Cintia, 80126 Napoli, Italychileone@unina.it
Anna Verde
Affiliation:
Dipartimento di Matematica e Applicazioni, Complesso Universitario di Monte Sant' Angelo, Via Cintia, 80126 Napoli, Italyanverde@unina.it
Riccardo March
Affiliation:
Istituto per le Applicazioni del Calcolo, CNR, Viale del Policlinico 137, 00161 Roma, Italy (r.march@iac.cnr.it)

Abstract

We prove a semi-continuity theorem for an integral functional made up by a polyconvex energy and a surface term. Our result extends a well-known result by Ball to the BV framework.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2006

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