Minimizers of the p-oscillation functional

Annalisa Cesaroni, Serena Dipierro, Matteo Novaga, Enrico Valdinoci

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We define a family of functionals, called p-oscillation functionals, that can be interpreted as discrete versions of the classical total variation functional for p = 1 and of the p-Dirichlet functionals for p > 1. We introduce the notion of minimizers and prove existence of solutions to the Dirichlet problem. Finally we provide a description of Class A minimizers (i.e. minimizers under compact perturbations) in dimension 1.

Original languageEnglish
Pages (from-to)6785-6799
Number of pages15
JournalDiscrete and Continuous Dynamical Systems- Series A
Issue number12
Publication statusPublished - Jun 2019


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