Lower Semicontinuity in SBV for Functionals with Nearly Linear Growth

Chiara Leone; Anna Verde

Abstract

We present a lower semicontinuity result for free discontinuity energies with a quasiconvex volume term having non standard growth and a quite general surface term.

Author information

Contact details are reproduced from the original publication and may be historical.

Chiara Leone

Dip. di Matematica e Applicazioni, Università di Napoli, Complesso di Monte Sant'Angelo, Via Cintia, 80126 Napoli, Italy

chileone@unina.it

Anna Verde

Dip. di Matematica e Applicazioni, Università di Napoli, Complesso di Monte Sant'Angelo, Via Cintia, 80126 Napoli, Italy

anverde@unina.it

Keywords

Orlicz space
quasiconvex integrals
lower semicontinuity

Mathematics Subject Classification

49J45, 46E30

Suggested citation

C. Leone, A. Verde. “Lower Semicontinuity in SBV for Functionals with Nearly Linear Growth.” Journal of Convex Analysis 24 (2017), No. 2, 459–476.