| Issue |
ESAIM: COCV
Volume 13, Number 2, April-June 2007
|
|
|---|---|---|
| Page(s) | 396 - 412 | |
| DOI | https://doi.org/10.1051/cocv:2007015 | |
| Published online | 12 May 2007 | |
A relaxation result in BV for integral functionals with discontinuous integrands
1
Dipartimento di Metodi e Modelli Matematici, via A. Scarpa 16, 00161
Roma, Italy; amar@dmmm.uniroma1.it; decicco@dmmm.uniroma1.it
2
Dipartimento di Matematica e Applicazioni
Monte Sant'Angelo, via Cintia, 80126 Napoli, Italy;
n.fusco@unina.it
Received:
11
November
2005
Revised:
28
March
2006
We prove a relaxation theorem in BV for a non coercive functional with linear growth. No continuity of the integrand with respect to the spatial variable is assumed.
Mathematics Subject Classification: 49J45 / 26B30
Key words: Lower semicontinuity / relaxation / BV-functions / blow-up
© EDP Sciences, SMAI, 2007
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