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. https://doi.org/10.68381/jca24029

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Published by Heldermann Verlag, 2017. Rights now held by Banach Press.