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

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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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