INTEGRAL-REPRESENTATION RESULTS FOR FUNCTIONALS DEFINED ON SBV (OMEGA,R(M))

Authors
BRAIDES A PIAT VC
Citation
A. Braides et Vc. Piat, INTEGRAL-REPRESENTATION RESULTS FOR FUNCTIONALS DEFINED ON SBV (OMEGA,R(M)), Journal de mathematiques pures et appliquees, 75(6), 1996, pp. 595-626
Citations number
36
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Journal de mathematiques pures et appliquees → ACNP
ISSN journal
00217824
Volume
75
Issue
6
Year of publication
1996
Pages
595 - 626
Database
ISI
SICI code
0021-7824(1996)75:6<595:IRFFDO>2.0.ZU;2-N
Abstract
We show that lower semicontinuous functionals defined on De Giorgi and Ambrosio's space of special functions of bounded variation admit an i ntegral representation with Caratheodory integrands, under some growth and continuity conditions.